Need some guidance

My ex, partner at the time at one point turned a verbal screaming match physical and at the time they acted like they felt bad but now they make excuses for it and said "it was reactive abuse" because of the things I said to them which yes I shouldn't have said but nonetheless it doesn't excuse what they did, and after that we had a few altercations more recently a couple of months ago I was trying to leave and never come back and then they blocked off the door and I was telling them to move and let me leave they wouldn't, I tried pulling them away from the door and I accidentally left a couple of bruises, now they bring it up every time we argue even tho we're not together anymore and not even friends just forced to be roommates temporarily, but we still argue every single day and I honestly want to move out of state, yes I'd be homeless for a bit but at least I'd be at peace, I'm tired of this constant screaming. And now they're saying a part of them enjoyed it but then when I called them out on it they lied and claimed they never said that and then they said they did say it and never claimed not to have said that and I get called a liar afterwards even though this all happened in less than an hour. I'm able to borrow $800 from my job that will be taken out of my checks in small increments but I'm trying to decide if this is what I should do, where I want to go is cold in the winter time so I'm thinking I'll probably go closer to end of spring but do you think based on what I've said this is something I should do.