section 8 vouchers.
This is a federal program that funds state and local govts. So your city will have a housing authority of some sort set up. They may even add more money than the federal govt gives them.
You have to get on a list most likely and they will interview you and see if you qualify. Then at some point they will give you the voucher.
Next problem is to find a landlord willing to do it. Many think you wont take care of the place and don't want to rent to you. The program usually doesnt pay everything they just pay a lot, whatever you qualify for. You pay your portion to the landlord and the govt sends them a check for the rest. They also may not want to cause there is a limit on what can be charged. If the house is worth more you can forget it, so plan on not getting the best part of town or the nicest place.
Some landlords will want to do it because the house isn't worth more, these are the houses you will want to stay away from. It would be better to have a landlord asking you what section 8 is and playing to their compasionate side if you are looking for a decent place to live than to find one hunting section 8 prospects down.
You will need to find housing that will accept you once you have been approved. The process may take some time as there may be a waiting list. Ask them how long it is.
At least you will be on the road to getting out, showing your parents that you are moving toward it may help the relationship while you wait.
Good luck