I think you've done a pretty good job in handling yourself, and wanted to give you a couple of my thoughts.
Here's one of the, if not the, most common questions at the point you are at right now. Should I move on? Like most others, you have been asking yourself this question for weeks or months. You will continue to ask yourself this question for weeks or months.
I like the advice that I've seen dday give. He got a divorce and then was remarried to his ex-wife something like 6 months later. I don't think he thought that would happen. His advice...just take today for what it is.
Should you reach out or just move on? I think the answer to that question is to take today for what it is.
You and your W have kids. You are permanently part of each others lives. Just see what happens.