Leaving my partner 🙁

My partner and I have been together for 4 years nearly and we have a 4 month old son together. I am falling out of love with him. He never compliments me, he never shows any interest in me, he spends his days off work with friends and not me and my son. He is a brilliant dad to my son but he hasn't been the best partner. He used to be abusive towards me both emotionally and physically. But that all changed once I fell pregnant. I stood up for myself and told him this needed to stop. So it did, and things were good, but now I just feel he doesn't respect me anymore, he isn't abusive to me but he just doesn't show interest or ambition about our life together, I've tried talking to him, but he is like a brick wall. He just shrugs off our problems and shows no sign of wanting to sort things, we argue 24/7 and I feel I'd enjoy life more being on my own. My problem is though, I would be willing to move out and leave him this house but... His name isn't joint tenancy due to him having rent arrears. How do I split up with him without making him homeless. He can't afford a private let, and won't get a house from the council unless he was homeless. I'm so stressed out, I need advice on how to go about this ? 🙁