Leaving Boyfriend/Fiancé

Hello! I am 23, with three kids. My boyfriend isn’t abusive, but is a game addict, and continues to put his video games above his family. It’s something I’m tired of talking to him about and am just ready to end the relationship and move on. Where do I start? We do live together, mostly everything is in my name, but both of our names are on the house and he isn’t willing to leave even though he cannot afford the house and bills alone. How do I handle this, where is my first step?