Where can i find a cheap apt or hotel that charges monthly in la?

Me and my gf don't have much money and we're tired of our familys arguing and trying to keep us apart so we've decided we're just gonna get away but we know we have to start somewhere till i can get into the marines and start making some real cheddar.we have monthly maybe 200 dollars between both of us and we don't care about food or anything like that.