Rent here is not that cheap. $600 and up for an apt. A condo considerably more.
Search craigslist LA for an idea of rent and areas. Try to find TG friendly cities like in the San Fernando Valley, Long Beach, Hollywood, West Hollywood. South Bay.
I'm from LA but have lived in Bakersfield since 96. I still miss it, but relocating, finding work, and transitioning all at the same time would be extremely difficult for me.