Why is he coming into your home to pick up the kids for school? Wouldn't it be best to have the kids ready and when you see him in the driveway, put their coats on and walk them out to the car? By him coming inside, he's still invading your space and making himself right at home making coffee. Would you go to his place and do the same?
BTW, I don't think you are cold at all, but going on about your business.
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.