$1,300.00 isn't much. It'd probably cover your cost of traveling down but wouldn't last too long in terms of living. CA is a nice place, just some of the cities are stupidly pricier than others for sure. I know where I live one bedroom apartments are 900+ in terms of rent.
I remember years ago looking at a site for looking to live with somebody (got lucky and ended up with a friend of the family so I didn't have to look too hard ). It was roomates.com. You can pick your area, gender preference for living, # of people to live with. It was a good site. I did end up meeting one person and checking out the place. Nice room, but again, other things worked out for me. Might want to check it out. Having a good roomate can be an awesome experience. Or in this case, if you're travelling with little you won't have to worry about whose stuff gets moved in and all