Truth be to told we know very little about how Cyrus unified Persia before establishing his empire, or how exactly the the tribal system worked in Persia. Persian tribes are mentioned by Herodotus, but they don't all necessarily line up with what we'd expect to see in a conventional definition of "Persia" or "Persian." One note that might help if you're trying to learn more from Google: Cyrus' empire is typically called the Achaemenid dynasty, or sometime Achaemenian, for the supposed ancestor of Darius the Great, Achaemenes. Archimedean implies some kind of connection to the mathematician Archimedes; very different people.

In Histories 1.125, Herodotus lists the 10 Persian tribes united by Cyrus:

Now there are many tribes in Persia: those of them that Cyrus assembled and persuaded to revolt from the Medes were the Pasargadae, the Maraphii, and the Maspii. On these all the other Persians depend. The chief tribe is that of the Pasargadae; to them belongs the clan of the Achaemenidae, the royal house of Persia. The other Persian tribes are the Panthialaei, the Derusiaei, and the Germanii, all tillers of the soil, and the Dai, the Mardi, the Dropici, the Sagartii, all wandering herdsmen.

Frustratingly, we know basically nothing about almost all of the tribes listed. Cyrus himself left very few inscriptions or other records, but the few that survive do not reference the Pasargadae as a tribe at all. In fact, they don't refreence the Achaemenid clan either, instead tracing his own lineage back to Teispes (later labeled a son of Achaemenes by Darius the Great). Later Greek sources call the palace complex built by Cyrus "Pasargadae" and Persian records call it "Pathra-garda." How that connects to the supposed tribe of Cyrus, or if Herodotus is entirely wrong, we don't know.

Unfortunately, we know even less about the rest of them as no surviving Greek or Persian text ever mentions these Persian tribes ever again without tying it back to Herodotus. According to Herodotus, Cyrus lead his own tribe and two others against the Medes in their initial revolt before gathering the other seven tribes under his banner as well. Of all of these additional tribes, only a few stand out as possibly connected to groups identified in other sources, but few of those sources consider them sub-groups of the Persians.

The Germanii have nothing to do with Germany, and instead seem to be an early Greek reference to Karmania, the region immediately west of the Persian home province. At different points in Achaemenid history Karmania was actually considered part of Persia itself for legal and administrative purposes, so it seems they may actually have been considered "Persian."

The Dai or Daoi use the same name that some later Greeks would use for the steppe tribe confederation better known as the Dahae. The problem is, not only were the Dahae located hundreds of miles away from Persia on the eastern side of the Caspian Sea, but they don't appear in Persian records at all until the reign of Xerxes. This places them before the time Herodotus was writing, but well after the time of Cyrus.

The Mardi are possibly related to the Amardi mentioned by the Roman author Arrian in his Indica, where he cites Alexander the Great's naval commander Nearchus as his source. Nearchus apparently listed the Amardi as one of the hostile mountain tribes in the southern Zagros mountains. If these are the same as Herodotus' Mardi, then they would have been near Persia and have good reason to join Cyrus in fighting the Medes, but once again they were not considered Persian.

Finally, the Sagartii are the most obvious connection to a real Iranian group at the time: the Sagartians. The Sagartians were the dominant group in the center of modern Iran, largely nomadic as Herodotus says, and immediately northeast of Persia itself. The Behistun Inscription of Darius the Great suggests that they may have been ruled by a cadet branch of the Median royal family, but absolutely nobody other than Herodotus implies that they were considered "Persian." So once again, we have a people that probably did join Cyrus, but probably were not a Persian tribe.

It's also worth pointing out that all of this business about tribes really had very little to do with how Cyrus went about establishing his empire. Getting all of his friends and neighbors on his side would have been important, but at that stage (around 553 BCE) it was still just a local rebellion against the Medes who ruled them. According to both Herodotus and contemporary Babylonian sources, the real turning point in Cyrus' rebellion came when the Median generals and their troops went over to Cyrus' side and overthrew their own king in support of Cyrus.

At that point, Cyrus effectively became the new king of the Median Empire, which was really more like a loose assembly of alliances and tributaries. It was only after assuming control of this much larger group of allies and subordinates that Cyrus was able to embark on more widespread conquests. Once again according to both Herodotus and contemporary Babylonian sources, he relied heavily on the Median generals who had supported his initial rebellion to carry out those campaigns.

If you're looking for additional reading: From Cyrus to Alexander by Pierre Briant is the premier text on Achaemenid history, but is really only accessible if you've got a lot of disposable income or can find it at a library.

For a more accessible approach to Persian history I recommend Ancient Persia: A Concise History of the Achaemenid Empire, 550-330 BCE by Matt Waters.

If you want to do a deep dive on Cyrus, I recommend Discovering Cyrus: The Persian Conqueror Astride the Ancient World by Reza Zarghame.

If you're specifically interested in Cyrus, but looking for something a little lighter than a 700 page biography see: Cyrus the Great: Life and Lore edited by M. Rahim Shayegan.