My situation was almost exactly like yours. Sadly, my situation is ending in divorce, BUT it's completely for the best. It took me months, some counseling and a solid understanding of everything to realize that.
BUT the best advice I can give you, is to GAL. Get a life, go do things that you never would have done, talk to friends you haven't seen in a while. Enjoy time with your children and make some new memories.
In January, I was battling cancer and dealing with a WW. She didn't give a damn about me, our kids or anything else, just her affair(s). I was so close to ending it all, just to be done with the pain, confusion, anger. Instead, I read DB/DR and went a different route.
My WW has been gone since V-Day (she moved out on it, how appropriate) and for the first few weeks I was a wreck. About a month ago (maybe a little longer) I ended up realizing that I don't need her. That I no longer want her. That she can do whatever she wants in life and as long as my children are safe, then I am happy. I have met new people, I enjoy my hobbies, I enjoy my time. I have started dating (this is still a hurdle) and it's been amazing. And you know what my WW thinks about all of this? Who cares what she thinks! She is the one who left!
Life is a fickle b!tch, have fun, enjoy it and make the best of a crappy situation.
Me: 38 W: 32 S10 D6 T: 10 (02/2004) M: 7 (12/2007) Separation 02/2015 OM confirmed 01/2015, D mentioned 12/2014 D finalized 9/2016