A couple of things that worked well for me at the "let's be friends stage":
1. I made a point of only initiating getting together about every other time. So, I'd invite H to do something; but then would wait for him to suggest something before I invited again.
2. I made lots of open-ended invitations that didn't require much/any commitment on his part. This may have been specific to my sitch, but I think it was important that I not be controlling or pressuring. So, I'd say things like: "I'm making xyz for dinner tonight; come by, if you want."
Good luck! -Julie
Me 41 H 42 M 11 years no children Bomb: 10/2006 "I'm better without you than with you." Separated: 12/2006 H moved back: 6/2007