Private colleges and universities are all over the country. They are generally more expensive than the public school systems but don’t let that scare you. They have a lot of money to give as financial aid (institutional grants and scholarships). They also have different requirements than the CSUs and UCs so even if you are not eligible to apply to one of those, you may still be eligible to apply to a private institution.
You can use the Common Application to apply to multiple institutions with a single application. Currently, more than 1000 colleges and universities accept the Common App. Check out the list of campuses on The Common App.
To explore private colleges and universities in California, visit Association of Independent California Colleges and Universities.