When there is a split and dad has a new lady - well, he has moved on. I am hoping that you also have moved on. There is an adjustment, but your role is mommy just as it always will be. The only thing that should matter now are the children. Believe me, they are watching both of you. They also have to learn to accept the changes. How you two handle the split affects them too. Be available to your children, their dad, and his new lady when the children are with them. After all, she will be caring for them too. And, you and the children should be able to telephone each other too. You'll be missing each other. Remember this is an adjustment for all. As far as being disrespectful or intrusive, well don't be disrespectful, don't overdo the telephone calls, look at this time as a short vacation for you and the kids, follow my advice and it will make it easier for everyone involved.
I don't know the details of your split, but it will make it easier for you too if you take the time when the children are away to relax and take a breather. Do things that you haven't been able to do for a while. After all, you are a single woman again. Enjoy!!!
I know its easier said (by someone else) than done, but what else can you do but move on. Don't linger - that just makes it hurt longer. It takes time, but it will happen. Believe me, it may not feel like it, but you are not alone.