Hey! How do people move out in general?

Hello! I am a 18F, turning 19 in two months. I had exited high school this year. I would like to move out but im not sure of the steps of doing so or anything of the sort. My mother has all of my documents, (the reason I want to move away is because I cannot stand her, she is a borderline hoarder and I cannot bear with trying to help her as she doesn't accept it and thinks its fine since shes paying the bills and i just "live there") The area i live in is quite expensive though I still want to stay in my state at least. I do not want to leave my dog either, since my mom doesn't treat her great either. My dog is a pitbull so not a lot of apartments will not allow her in. My mom isn't abusive of the dog but there are have been days where the dog has an accident and she wont clean it up because shes lazy. I don't make enough to try to live in an apartment on my own either. Rooms for rent are good but the cost of moving that is expensive as well. I don't have any family in the state as they have moved to Guam to help my twin sister for school. I can't ask her for help because she will beg me to stay, which happens again and again. The guilt is eating at me but i just cant stay here any longer for my sake.

I would like help or advice on work, how to move out in general, any suggestions that could help, or just any steps i should at least start on to get closer to my goal of moving out. I just want any hope of being able to leave at all.

I know this is long, I am not aware of reddit etiquette since i've been off the website for 3 years.