ONJ -- sorry, that's just we old farts just having fun, taking up space on your thread. If you google "ONJ music", you'll see. I'm a product of the 80's.
STFU means don't engage him in relationship talk, don't criticize him, don't try to persuade, etc.
He moved out of your house, right? Then I wouldn't feel guilty about using any of the communal property. He chose all this. If he doesn't like it, tell him he's free to move back in.
If he's not interested in seeing his daughter at least 50% of the time, if he's not taking full responsibility while he has her ... he doesn't sound like such a great Dad to me. Sorry.
Many lawyers will do an initial consultation for a very reasonable fee ($0-200). This is a good way for you learn the basics of how a divorce works in your state, and a chance for you to ask lots of questions, so that you know what your rights are.
Be a great Mom. Be a great woman. Be a great person. Be kind but firm. If he still doesn't want you ... you deserve better.
Me: 50, MLC/WW 45 Young kids Nov 2015: BD1 Apr 2016: BD2 Jan 2017: W filed Feb 2017: D final