I lived in a broken home also as a child. My mother remarried when I was 10. I always blamed my step father for breaking my parents up. Eventually my stepfather grew on me though. He used to take me fishing and camping. He also made sure that he made an effort to not leave me out of things. Before I grew older and started raising my own children I never knew how much I really appreciated all that my stepfather did for me. He taught me a lot of things about life and really did make a difference when he helped with homework.
I agree with the others. TALK to your kids as much as you can. Encourage them to spend time with your husband. If they come to you asking for help... send them to your husband tell them how smart he is and what a good man he is every chance you can get. Eventually it will get to them and they will start to understand.
Tell your husband to plan special things with them. Fishing is inexpensive and where I live there are a lot of places that cater to those with disabilities. Maybe your kids can help him. Let him teach your children interesting things. Throw a ball, build a birdhouse, things like that. If your kids are involved in clubs or sports both you and your husband should get involved. Tell your husband to be a mentor before trying to have a relationship. Being a mentor will eventually earn a childs friendship.
You don't have much longer before the kids are going to be grown up and on their own. Maybe they like me will cause problems in the house now but maybe they will eventually learn what your husband has to offer. One last thing. When you child argues.........IGNORE IT>>>>>>Don't let him get to you. My daughter is 8 and she knows that I WILL NOTTT....argue with her. If the case may beee PUT YOUR FOOT DOWN let the kids know that they are stuck with your new husband and thats the way its going to be because you are the parent they don't have any other choice. If they love you they will learn to deal with the changes. Also try asking the boys what they want you to do, make sure that you tell them to be realistic. Hope this gives you some ideas.