Sounds like me a little. I have been organizing/cleaning all weekend. I'm glad you found your guitar, and are cleaning out stuff and feeling fresh and new. That's a good thing.
Do you still have a picture of you and your wife up? You should so your kids and her know that you are NOT OK with her leaving. Until SHE gets a divorce, you are still her husband, and that is what I'd tell the kids. I don't think the idea is to have her think you've moved on, but rather have grown as a husband and a man.
Being alone DOES suck, but it sure allows you to get a lot done and to reflect on everything and yourself, doesn't it? It forces you to do that rather than distract yourself with outside influences. It is hard, yes. But, it is needed. My H went for YEARS distracting himself (not with other women, but with work and projects) and didn't deal with any of his issues. When he did, that's when I took notice and said, "What the heck am I doing?"