Fairly new to stuff here anyway, but dealing with kids too. My thoughts on kids and contact, are try to set up a plan or the best you can. Kids will be wanting to call at random times, and we are splitting close to 50/50. I get random calls from them, usually if I am the one calling to her for them, I just hand the phone over, and make sure she is done and then either hanguo or say by if she does. But like I said, mine want to call when they want, and you need to let that happen when possible.
It's near impossible to go completely dark with kids, but when you do have to converse, keep it all business like, but be nice, have set up times for drop offs and pick ups, and just be happy that you are being there for the kids. I don't know for sure on your stich, but don't get dragged into anything that isn't kid related. Just validate and be happy. Don't know if this is all right, but it's what I found that works for me.
Don't be afraid to keep asking questions either, it helps to know exactly what to do. And remember that if something isn't working, time to change gears. Kids are a tough one, but just keep moving!!