Los Angeles is a huge city, and public transportation is not great. You will probably need a car or a friend with a car. Or live in an area close to what you want to do and use a bike.
Here's another overview of the dance studios from That Steezy.
Home For Dancers is a couple houses in North Hollywood that offer per-week and per-month rates for visiting dancers who want to live near to the studios in the area. Need to reserve far in advance though.