G.B.
Call your local Domestic Violence shelter/agency and they will have all these answers for you. They have places you can live and they'll help you get a job and save money to get housing. Sometimes if you are living in one of these shelters it helps you get low income housing more quickly too.
Child care can be paid by the state and since you'll be a single mom you should not have any co-pay unless you get a job paying extremely well. You'll qualify for food stamps and other supplemental programs. Plus once you get papers filed he'll have to start paying child support. That will help you financially.
If you don't have transportation the shelter should have a vehicle they can give you rides in. They do all this to help you get stronger so you can stand up to your husband and know what you are supposed to do to protect your child and yourself.
Good luck in all that you are doing.