At a UC school, you will be faced with high out-of-state tuition and high housing costs, and you will get no financial aid. The total cost of attendance will be more than $60,000 per year (not including travel). You can see this, for example, at UCLA’s “2018-2019 Estimated Undergraduate Student Budget” table. Look at the bottom line, for “Total - Nonresidents”. No financial aid for non-residents, so that is your actual cost. Over four years, this is a quarter-million dollars.
Realistically, your family probably cannot afford to commit two-thirds of their annual income to your college expenses, or to take on hundreds of thousands of dollars in debt.
Your best chance of finding an affordable private school in CA would be at privates, like USC or the others mentioned above. Their tuition may be just as high as the out-of-state tuition at a UC, but unlike a UC they will offer financial aid to non-residents. If you can get in, and are lucky with financial aid, the cost of attendance might possibly be competitive with Penn State or Pitt. The Penn State-Abington route will almost certainly be cheaper though.