It's taken a long time to get where you are, to have this momentum and frame of mind.
Actions speak louder than words. If he's sincere, state your boundaries and deal breakers, expectations. Promise only what you can which might not be more than "you can try but I can't guarantee anything".
Being honest with yourself in a relationship is crucial. Ask yourself what you want. If you have a smidge of doubt about divorcing him, consider putting forth your requirements for you to even consider friendship with him. If he's unwilling to meet them, you have your answer. If he does, then he's working on being a friend. He earns the right to be trusted, as you continue living your life.
This may be a tough proposal for your new guy. But being true to yourself.. the sunny you within.. is at the core of all you do. Take time away from their voices, walk, talk to trusted friends, counselors, clergy.. etc.. and decide what is best for you, best for your children.