I don't know what to say to help you. Maybe it is time to go see what is out there for you. I don't think you will have a satisfying relationship with anyone until you are over your wife.
Also you have to be careful with your time. You are in the early days of establishing more time with your kids. Get them into happy pattern so that you acn determine what spare time you ahve to invest in another relationship.
I wonder how your W would feel if you did start dating woman. Without you realising she could be confident that you are available to her.
When my H went an got an apartment in the city and was going out , I never cared BECAUSE in my heart of hearts i knew that he was still caught up with me. He did not say a thing, his actions spoke of the life of a single man BUT I KNEW THIS WAS NOT TRUE. Don't ask me why or how. It is something in the attitude that cannot be fake.
When he left a few months ago it was very very different and I worry every day that there could be another woman entering our lives. Again nothing in what he said , it is all in the attitude.
I dont know what to suggest because I know you dearly want your family in tact. I forget how old you are but I am sure that you have many years ahead to enjoy a fantastic life with the right girl. It may not be your W.