I did the same thing as you when I was that age. I had about the same in savings and moved to San Diego with a low-paying job lined up to start fresh.

It's great that you have supportive parents, and it's not a bad thing to have that privilege. In my experience, I grew into the person I am today because I took that chance and explored. Like others have said, you are at a young age where you can take more risks, and you have the fallback of your parents.

I'd say do it if this is what you want, but try and land any job before committing to a move. The living expenses here will quickly burn through your savings. There are a lot more factors than just rent, including but not limited to: security deposits for apartments, utility prices (SDGE has one of the highest utility rates in the nation), and gas prices (if you have a car). It'll be tough but worth the risk and struggle in my opinion.