I cringed when I read this:

"..the reason our marriage ended is because their mother and I love each other, but not in the way a husband and wife should, and that we've tried for several years, but couldn't make it work."

When I thought my H and I would divorce, and when I wanted to justify it, that is EXACTLY what I wanted my H to say.

I don't think your wife HAS tried, has she? I know she wants to make this all "nice", and I know you are ready after all of this time to end this well, but if the kids know that the marriage could have been saved if BOTH of you tried what needed to be tried, then they won't get the wrong implication from that statement.