I'm having intense heartache

I'm living with my children father and we're not in a relationship because he broke up with me but we do stuff as if we're still together, I have talked to him about it and he said he's only being casual, we're having sex, he's hugging, cuddling, kissing me etc. I don't have anywhere to move too and I'm living with him, my heart has been hurting because I still love him and I feel like he's stringing me along knowing we're not together, how do I get him to stop without causing an argument?

I'm getting all the benefits of a relationship except for the verbal commitment, he gives me money so I have been saving to move out, he works and come home to me and the kids and he stays home on his days off, I'm scared of being here when he decides to start dating