When we used to live in an apartment in SoCal, in Torrance which is a bit coastal, I have a cymbidium growing on our apartment hallway patio area. It gets just some morning sun and dappled shade in the afternoon.
I know my cousin in San Diego grows epidendrums easily.
It would really depend whereabouts in Los Angeles area you are going to live. I find that if you are nearer the coastal area, it will be a bit easier, since the area oftentimes gets marine layer (coastal fog) which will help in the humidity aspect. But if you go more inland, you may have to provide adequate shelter from the intense heat. For sure you can grow Phals indoors by a good west or east facing window. I can grow them here in my present location which is quite inland, so just make sure your Phal gets good air circulation there. Just be prepared, Cali is really very, very dry area. Who knows, you might also learn to grow lots of beautiful succulents too which thrives so well here.
Just adding too, my aunt lives in the Northridge area and she inspires me with her collection of orchids. She grows them outdoors under a protective netting cover, since it really gets very hot there. But she manages it and I do think it got me into orchids because of her too.
She grows different kinds, cymbidiums, oncidium alliance orchids, zygopetalums, cattleyas. She has the knack for it.