He probably won't change his mind,and it sounds like you're still in love with him.
You know the answer - you need to move.
However, with kids, it's not that easy. And there are financial reasons to stay as well, by the sound of it.
I've been separated under one roof with my ex close to two years now. It's not great - he was controlling during the marriage, and still tries to control me when he can now. I am stuck until we settle the property, as there is a terrible rental crisis where we live, so I'm stuck financially.
If you can afford to, move out as soon as you can.
It's hard to shift into a new space mentally, I understand. It's scary. But you know you need to do this. You are very smart and aware of the situation you're in. You'll be thanking yourself afterward, believe me. A better life is waiting...