I get it BK and do what you think is best for you and your girls but I agree w/ the consensus.
Don't own your h's feelings. If he feels awkward then he can deal with it however he wants to deal with it. But his feelings shouldn't come before what you think is best for your daughter, IMO.
I've had to go to events/party's at my stbx's for my kids and it may have been awkward but nothing would stop from doing what I felt was in the best interest of my boys.
Good Luck and I'm sure it will work out great cause they have an awesome mom.