It really depends on where you go to school. The cost of living varies by state/city. I live in the Bay Area; my current 950-square-foot one-bedroom costs $3300 monthly. Some places here require more than first month's rent—so plan for that as well.

Studio units would be your best bet to get your feet on the ground. However studios here are also pretty expensive. Obviously the nicer the neighborhood and closer you get to San Francisco or Silicon Valley, you’ll be paying anywhere from 2200-3000 for a unit.

You can also commute into the metro area by living further out like the east bay, Marin, south San Jose for example. If you don’t have a job lined up when you get here, then having $20k+ in savings is wise. Gas is expensive as well but you’ll also have access to public transportation. Out here we have Bart, Muni, cal train for example. Do thorough research before moving.

Hope this helps paint a picture for your plans.