That's a pretty broad question. There's an awful lot of territory between Texas and California and north to Wyoming, and dozens if not hundreds of Native nations. The Navajo at this time (1820s-1840s) were primarily concerned with trading, raiding, farming corn, and raising sheep. The Apache were likewise living their traditional semi-nomadic lifestyles, and frankly not much would change for either of these nations until the American Civil War. The scholar Pekka Hämäläinen has argued that the Comanche had by this time effectively set up an empire, extracting concessions and favorable treaty terms (not to mention abducting people for ransom or enslavement and keeping a brisk business in stolen horses, cattle, and goods) from the Spanish and later Mexican governments. In fact, Comancheria, despite how the Spanish, Mexican, and American governments portrayed the area on maps, was firmly within their control, and the Spanish settlements that survived at its' edges survived at the Comanche's mercy. See Hämäläinen's Comanche Empire for more. (Some people might recommend a book called Empire of the Summer Moon, but it's a really bad book, full of pro-Texan bias and 1950s B-movie racist rhetoric about the savage nature of the Comanche's barbarian culture and minimizing, if not justifying, American-committed atrocities. Stick to Hämäläinen.)
The three tribes you mentioned are probably the area's best-known inhabitants, but Colorado and Utah were also home to Utes and Cheyenne, as well as Paiutes and Shoshones further into the Great Basin. Then through Arizona there were also the Hualapai, Havasupai, Yavapai, Tohono and Akimel O'odham, and Hopi; New Mexico had 20 Pueblos, speaking seven languages. In California, the missions had wreaked havoc on the Native peoples, which some estimate at 300,000 people speaking 80 languages prior to the Spanish invasion. After Mexico declared independence, the missions were secularized but administration of their wards and lands simply transferred to the new local Mexican authorities, and Mission Indians did not see their plights improve. Some even refer to it as the California Genocide - check out this interactive map as well.