I really feel for you regarding how hard it must be to type the line about your marriage being over. That one really brought a lump to my throat. You seem to be in a fairly good place given all that you have gone through, so congratulations for doing so well. This is so tough, and you deserve to pat yourself on the back.
I'd advise against dating unless you are SURE you are through with W. If there's any part of you that even things about a reconciliation, you probably aren't ready to date. And be prepared that even if you think you are ready, you may not. Abandonment has a way of cycling back to earlier feelings, so that while you may honestly feel at a given moment that you have really worked through earlier stages, you may not have. Then again, perhaps you have. You know your situation best. However, if you are not through with W emotionally, or if you are cycling back through earlier stages, you will put yourself and the woman you are dating in a hurtful place emotionally, and that's not fair to you or her. Take some time to think this one through.