Kate - Just showing your H respect, not bad mouthing him in front of your kids, and making them choose sides will do wonders for how they make it through the situation. My XW and I still sit by each other at all of our kids activities and even though she has been dating her BF for over a year now I will not change how I currently operate just because he shows up.
In order to do this though I had to take the high road on many occasions but it was worth it for my girls.