should I move out?

I am having problems living at home, my dad (which was literally my best friend) died when I was in 5th grade and then my mom remarried a few years later except I don't like him at all. He never talks to me besides saying hi in the morning or when I'm in trouble and btw I am 20 now. Long story short it's freaking awkward and there's no bond between us, just hate. He hid all of my hair stuff and I couldn't do my hair for a week until I found it, and he hid my w2 form so I couldn't file my taxes. I'm just tired of this honestly. The main root of my issues is doing the dishes, I get that I live with them and still need to do chores but I literally do everything and if I don't, I get in a lot of trouble. I go to school full time and I work a lot of hours too so I am barely home. When I am home I'm tired as shit so I just shower and sleep. There's so many issues but this would be so long to type. I'm just getting frustrated and idk if I should move with my boyfriend. He's been offering his home to me and trying to help me but parents are so scary I'm scared to ever stand up for myself. :(