It's a scary thought, losing your home and being forced to live in your car. But it happens, and many times it happens while you have children. Seeking help at shelters or with family and friends is a good start. But sometimes doesn't work. Shelters in some areas have long waiting lists, sometimes family is in another State, and friends just don't have the room.
You also find yourself in a catch 22 about where you park your car to live. Big cities have the opportunities you need to make money and get out of that car. But they also have the dangers associated with car living. Small towns don't always have the financial availability, but they are safer. This is your first major decision, stay in the city, or move on.
My husband's family choose to stay in downtown Denver. There was work there, and it was their hometown. Whenever they could, they would rent a motel room. This is great when you have children. They need a bed, warmth and a shower. But renting a motel room isn't always feasible. money can be scarce when you don't have a permanent address. PO Boxes can be helpful in this situation, if you plan on staying in the city. Employers don't like the homeless. If you can get a friend to allow you to use their address for employment, securing a job will be easier.
When staying in the city, make sure your locks work, and that you park in areas that are well lit. Never hide in alleys. Think about personal security as well. Not only are you defending yourself, but your children as well.
My husband's advice on living in a car with children, is don't. And don't poop where you eat.
But he knows very well, that sometimes things happen, and your car is the only home you have left.
Another problem you will have, is what to do with your kids while seeking new employment or working. You can't leave them in the car, alone. No matter their age. This will take some creativity on your part. Seeking out a caregiver that will understand your situation, that you are not neglecting or abusing your children, and that will be patient about payments, or are willing to barter for care. Not an easy thing to do. Most state certified agencies will turn you in.
Once you have secured you caregiver, a new job. You can begin the uphill battle of finding a new home. But it will take time, energy and creative planning to get back there.