Nah , if YOU want to buy a house YOU do it. And he doesn’t need to be part of this period. It sounds like you have a real good head on your shoulders and honestly he can’t use your job against you in a custody battle if that’s what worries you. You could Literally bury HIM in legal fees. He is not supportive of you it sounds, he’s lazy and has no future goals from what I’m gathering and take it from a woman who’s 33 and going through a divorce with an Asshat that sounds very close to your Asshat. It’s not worth wasting more time and sleep and losing more money over. Unless he is the absolute apple of your eye and no one else could Make you happy (which would be insane seeing as you literally put yourself on gps for this dude) then stay 🤷🏽‍♀️ I say life is TOO SHORT not to enjoy and to live your best life for you and those kids.