How exciting for you and Kim! I just wanted to touch on my experience a bit, since both me and DB have daughter's. DB's daughter stays with him every weekend, so I met his daughter the first time I visited. He had never introduced anyone he dated to his daughter before (she is 10), so I felt fortunate and very special to be able to meet her. It went very well and I knew that he was serious about me from that moment. DB met my daughter (22 mos. old) the first time he visited me in the states, as well.
I forgot to add, that it is very difficult to decide what to do when children are involved, so I understand. I had never introduced anyone to my daughter before, but with DB I had no hesitation.