HBT I started my third month in this storm and I know how you are feeling. I dropped 15lbs in the first month 1/2. My W however still has not told her mother or father and only 2 of six sibs. All the of her sibs know and have called offering their support. Though my children won't open up to me they have talked to a cousin who told me that they know it is their mom that is messed up.
This is going to take some time for you to come out of the "fog" it has for me. You'll feel like a ping pong ball when you talk to them. Yesterday I got one phone call where she told me that she was leaning towards divorce and a hour later she called and asked me to set up a joint MC session. In my case we are sharing the house and summer home just not in the same place at the same time. For me I look at the person I knew, they look the same, sound the same but they aren't the same person. I the kids and her family don't know this person she has become. I have gotten to the point that I don't know if I want this person back any longer, don't get me wrong I'm still in love with the old person but I don't know this new person. You will become the opposite of who you were before this happen, stronger. I know that I have and she ran when she found out I wasn't going to avoid her on issues. You will pull through this it takes time and effort. I did alot of reading in the begining trying to fix the R, now I am reading how to be a better parent for the kids. I see yours are about the same age as mine. They take it hard and hold it inside, monitor them as much as possible, I have found out things I never thought my kids would do. You must watch them and be strong for them, they might not tell you but they are watching and tell their friends that they confide in. Find some good pareneting books on divorce or seperation, I wish I would have started there 2 months ago.
One last thing, I know it is hard and you will think about it every minute of the day, but you have to give them their space. No calls, no text msg, nothing.
Be strong
"Worry is the price you pay for most of the things in life that never happen"