I am sure laws vary state to state, but in mine you cannot keep a car that has a payment on it if you file for bankruptcy. The idea being if you can afford a car payment...well. However, if you have a car paid off, they cannot take it or the house you are living in (if your are buying it) because they have to leave you a place to live and a way to work. As others have said, I would not let my adult daughter's need for a car keep me in a financial hole. I would start the bankruptcy process and that should give her time to find alternate transportation. Like others have stated, I also wouldn't pay any bills other than living expenses.
If you cosigned on loans for college, those are their bills. Not sure you can get your name off but I would not let their debts fall on me. If they are in your name, well, you can't file bankruptcy on student loans. That and child support. Anything else you can.
Work on getting yourself in a stable place financially and emotionally, and your relationship with your children will benefit from it.