I agree with Tyler and Vanilla. Don't be buddy buddy with H.
But don't act like a pissed off, bitter woman either.
I think you should act happy like you are moving on with your life. No longer pining away (even if you are).
I'll tell you a story about my ex-wife (not WAW that I'm trying to DB now).
My ex-wife left me 10 years ago. Long story...
Anyways, I did all the wrong things - begged, pleaded etc.
She moved to a town about 45 miles away and bought her own house. She took our D with her. I was a mess.
Eventually I started getting over her. I would meet her half way between our houses to exchange D. I was moving on and happy. I felt better and was really letting her go. She was in a relationship with another man at the time.
Anyways, when we would exchange D, I was always in a good mood. I would say hi and smile and ask about D's homework that I needed to help her with over the weekend. We'd say goodbye and I would walk with D happily back to my car.
ExW soon started texting me about random things. I would reply but I really didn't care anymore. Her texts became more and more personal. Then she started texting about her boyfriend and about their problems. Sometimes I would respond, sometimes I didn't. I really didn't care.
Then she dumped him and started pursuing me like crazy. She liked that I was happy and gave off a confident vibe. I was lighter and care free.
It got so bad that she was practically stalking me. I wanted no part of it. I'd moved on. Then she started threatening to kill herself!
She became the LBS! If I wouldn't have been friendly (don't mistake this for being her friend), she never would have been re-attracted to me.
So... give off the vibe that you are enjoying your life without him. That you are excited about your future. That you are having fun and wish the best for him. When you TRULY let go of someone, you don't wish ill will on them. Especially if you have children with them. That's not detachment.
Why would he miss someone he sees as bitter, or angry, or adversarial? That's why I always say be light and breezy because I've seen it work in my own sitch before.