I've asked you this before and you said you were "keeping your options open" but have you applied for jobs at restaurants or hotels or something in the service industry? What about working at a fast food place at night? Call landscaping or painting companies and ask them if they need help.
Your attny needs to do better. Period.
If your W is the primary breadwinner, unless the courts state otherwise, she must continue to pay the living expenses OR give you ample notice. One day is not ample.
L.A. is a HUGE city - with the support you are getting you should be able to rent a room somewhere or get in a roommate type situation until you get on your feet. No, it won't help you in the custody situation but something has to give here.
Craigslist - you can sell items, look for housing of all kinds, look for jobs and one time "gigs". Yes, L.A. is tough without a car but there is a bus system.
Your W should not be taking the car unless she has legal permission to do so.