Kids make it tough, but in the end, I followed Coach's advice - "change your thought, change your emotion. Read up on Cognitive Dissonance - wikipedia is a good resource.
I realized my fear of being D'd was b/c I was afraid of being alone or lonely. This thought was unreasonable. So, change that thought to realize I will not be alone or lonely and my emotions follow suit. Thought preceeds emotion, not the other way around.
Give it a try. Its pretty liberating.
The kids - you are always going to be a huge part of their lives. No matter what.