It is a wise move you are making to protect yourself and your children from his addiction.
His denial is just another sign that he isn't even close to being ready to take responsibility for his addiction.
It is no longer all about him, actually it is no longer about him at all...from now on, it's about you and your children.
You will have good days and bad, emotional and sad too sometimes, but there will be wonderful new beginnings out there for you, once you put closure on your past.
Keeping you and your children in my prayers.
Hugs