X2 ...its a first date... Take it and enjoy it. See how the chemistry goes at least you have something in commom. Just be yourself. Go throw some lead.
I'm not saying EVERY child of a divorce suffers overtly, but on a spiritual level (mostly unseen anyway) it is not the natural way of a child's upbringing to suffer a splitting of the parents. It's simply not in a kid's processing ability to do anything other than cope, no matter how they cope. Just my .02 cents. As a side note- my folks probably should have gotten divorced when we were kids! They treated each other and my brother and I horribly. My brother and I revolted when we hit the teen years, and held grudges for some time after that- I eventually got past it, my brother straight up disowned the entire family! But, I digress...
I suggest you wait a couple months to make sure you guys are going to hit it off before you meet the kids. Save heartache for everyone if things don't work out.
I've already met the kids. They are good kids. In 4h, etc. Neighbor of a friend I've known for a while.