My best suggestion is to check listings for LA on Craigslist. That'll give you a good idea of what's available and what it goes for. I know where I'm at in California, a 1 bedroom apartment starts around $1,200 to $1,4000 plus utilities. A quick look on the Central LA Craigslist makes it look like they've got places in Koreatown starting at $1,000 (which seems low to me) plus utilities. But depending on where you want to be, the prices will change drastically.