So fed up with dad

I'm in a long term relationship with baby's daddy, we have a house and dog together too. I'm literally a single mum right now. I'm so fed up with him. He's changed 2 nappies since she was born, will never just play with her, it's always "do you want me to hold her", like no I want you to want to!! I do every night whilst he sleeps in another room and all I get when he gets home from work is the tired grumpy version of him, I think he resents that I'm home all day everyday. When we're with family he acts like the best dad, taking her off me and wanting to hold her it's sickening. We haven't even touched each other since she's been born. I seriously feel like I actually hate him and his attitude which I hate I feel that way! If we broke up I have barely any savings and really don't want the same broken family that I had as a child for my baby girl 😭 He gets so defensive if I slightly bring this up and says things like "do you think you're overtired or overreacting a little". Just a rant 😮‍💨