The AskHistorians reading list has several book recommendations for each of the major Bronze Age societies. A search of the subreddit may turn up some threads on daily life, and I've written a few responses that touch on the subject:

• Hittite daily life

• What did the life of a Sumerian or Akkadian child look like?

• What did being wealthy look like in the bronze age?

• What was the hygiene and self-grooming habits of Ancient Egyptians like?

• How did commoners in ancient Egypt pray and worship their gods?

There's quite a few good books about daily life in ancient Egypt. I recommend starting with Daily Life in Ancient Egypt: Recreating Lahun by Kasia Szpakowska and The World of Ancient Egypt: A Daily Life Encyclopedia by Peter Lacovara.

Daily Life in Ancient Mesopotamia by Karen Nemet-Nejat is a pretty good overview of life in Babylonia and Assyria.