Looking for good and not expensive Los Angeles College for LAW degree

Criminal justice is not seen as a ‘solid’ major by law schools (it mostly prepares for law enforcement jobs not for law school). Criminology can be ok, but law schools will prefer a strong major such as Philosophy, Political Science, Economics, English, or History.
Look into Honors programs.
If your child had excellent grades and scores, look into Pomona, Pitzer, McKenna, Oxy, USC, Whitman, and run the NPC at those as well as LMU LA, St Mary’s of California, ULaVerne, Willamette, UPuget Sound (easier to get into it into meet need).