This answer will largely be based on a class from one of the foremost early Mesopotamian archaeologists, Augusta McMahon. I can't really cite specific sources for further reading since this is largely based on my lecture notes, but for more information you might try Bahrani's Mesopotamia, Ancient Art and Architecture which is especially accessible to non-experts in Assyriology, and, despite its age, for a more technical analysis I would recommend Robert Adams and Hans Nissen's The Uruk Countryside: The Natural Setting of Urban Societies.

The first thing to address is chronology, as 2900 BCE isn't actually the peak of Uruk. According to the most commonly used timeline, Middle Chronology, 2900 BCE would be the end of the Uruk/Jemdet Nasyr period, and transitioning into the beginning stages of the Early Dynastic Period. Starting between 3100 and 3000 BCE we actually see a decline in the size and prosperity of Uruk and most Southern city-states as they lose control/contact with their 'colonies' in the North, West, and East, and so access to the valuable trade and goods which they provided. That's okay though because the 'standard' house design for Mesopotamia actually remains fairly consistent from the beginning of the Uruk period through the Akkadian period, and arguably even further into the Ur III period or after. For that reason my description will largely be of this ideal model for the house which most excavated homes mimicked to one extent or another, and isn't necessarily grounded in a particular century (or city for that matter since the Uruk period had spread Uruk material culture and forms throughout most of Mesopotamia).

The foundation of the 'standard' Mesopotamian house in this early period was the tripartite design. This means that there was a large central room or courtyard which served as the center of the home, and usually was one of the first rooms that a person entered in order to gain access to all other rooms. Surrounding this central courtyard would be several smaller rooms in a somewhat haphazard layout according to a families individual needs. An important concept in archaeological study of these houses is the 'degrees of privacy,' or essentially how many rooms you had to walk through in order to access a particular room. This supposedly created a separation between public-facing and private rooms within the home. A guest might see the courtyard and one or two degrees of privacy deep into a home, but it's not often they would see further as these would be private bedrooms, storage rooms, etc. The number of rooms varies based on wealth, utilization of rooms (say needing a workshop to produce crafts), and family size, though I've personally seen examples with as few as 8 rooms, and as many as 20+. Keep in mind though that we don't know the use or purpose of all of these rooms, and we're having to count relatively small rooms which likely served as our equivalent of a closet or pantry. At this time almost all houses appear to have been made of mudbrick, with no tauf or stone houses that I'm aware of. In the Uruk period the "Reimchen" brick dominated, a small square brick not much larger than our modern bricks that fit together tightly, with a seemingly standardized size which indicates that perhaps they were building standardized room sizes or even whole houses. In the Early Dynastic period we see a transition to the plano-convex brick which was larger and had flat bottoms and sides, with a slightly curved top, implying that they were made by packing mud and straw into a mold. These bricks didn't fit nearly as tightly together and there is a much more ad hoc way of placing them, with lots of 'plaster' in between to fill in the gaps.

Moving onto to some of the features of these houses. Hallways weren't really a thing, and it appears that every room attaches directly to other rooms, or else the outside. It's also very common in urban settings for neighbors to build their houses directly next to each other, sharing walls. This can create the illusion of a single gigantic building, but we are able to isolate individual houses through looking at doorways and where one group of rooms ends and another begins. It doesn't appear uncommon for a house to have a wood roof, expensive considering the difficulty of acquiring decent timber in Mesopotamia, though it can be difficult to judge which houses had wood roofs or not because the wood doesn't tend to preserve in the archaeological record. The presence or nature of windows is also hard to judge since we often only have the footprint of a house, or else a couple feet or less of standing wall. Most houses have 'ovens' attached to them on the outside which would have been used for heating when necessary as well as cooking or any other needs for a fire. Occasionally these ovens are found inside the house as well, presumably in a well ventilated room or a courtyard with no roof. While many homes, especially earlier ones, show signs of household craft production, in later periods we see an increase in administrative workshops attached to palaces and temples, which corresponds to a decrease in the presence of home workshops.

As for furniture and home decoration, it largely seems to have been made of perishable materials as there is little surviving in the archaeological record. This rules out stone beds and the like, and we would probably see indications of mud or tauf furniture as well so we can also rule those out. As mentioned earlier wood was extremely to difficult to acquire as it required expeditions to the Lebanese or Zagaros mountains in order to fell trees and transport them back to the cities. What Mesopotamians had plenty of though was reed and fiber, and we already know they used it in highly advanced and innovative ways. Likely things such as beds and sofas would be made of one or the other, or some combination of the two, and if possible covered in a textile such as wool or linen to make more comfortable. As to lighting I can't really comment, like I said we can't be certain of the situation with windows, and afiak we don't see a lot of lanterns or candle stands in the common household assemblage. Obviously archaeology isn't perfect and it's very possible they were using perishable materials in order to hold candles or flames which they used for writing.

That's about all I have for concrete knowledge about houses in the early history of Mesopotamia. Since you mentioned you're interested in the urban design I'll add a few things you might find interesting. The model of the house was extremely important to Mesopotamian ideology. They perceived most aspects of their society from the local administration, religious institutions, all the to businesses and 'firms' as "scalable households" modeled off the private household both literally and metaphorically. To read more about this I would recommend Steven Garfinkle's "Family Firms in the Ur III Period." In Sumerian the word for palace was E^(2).GAL which literally translates to "Big/Great house." Both temple and palace architecture was based on a scaled up version of the tripartite design, with a large central courtyard and smaller surrounding rooms with degrees of privacy. During the Uruk expansion of the Uruk period, when Southern Mesopotamia was establishing its 'colonies' throughout the region, they would always bring along their 'standard' house design with them. "True colonies" built on virgin soil such as Habuba Kabira had planned layouts and ensured plenty of room for each house to be able to achieve the standard design. "Enclaves" within existing settlements such as Hacinebi Tepe are identified because of the existence of Southern style houses in a particular section of the city. At urbanizing northern sites such as Tell Hamouker, which had their own architectural tradition, we see the adoption of southern style houses after the arrival of Southerners (though there is evidence of conflict and it's very likely that the Southerners conquered T. Hamouker and rebuilt it with their own plans). And lastly, in already densely occupied Southern style sites such as Kafajah we see in later periods a rebuilding of the domestic sections of the city which had been cramped before, in order to give more space for individual houses in the standard design.

I hope that answered your questions and I apologize I couldn't talk more about some of the specifics such as lighting or furniture. Let me know if I can clarify anything or if you have any further questions!