Congratulations on the coming 'event'. I agree with Debra - work on the 'leave it when the baby is crying especially if it's a sudden scream. It can exacerbate the prey drive. I suggets you have a special command for this rather than leave so he definitely knows what to do when it is the baby crying.
I just read your stories about Tric (and other dogs) in the rescue section (have not been able to log in for a few days), and I have to say, you are doing awesome job with that little boy… All your pics of him (and Kasko and Kahlo of course) that you posted here and in other threads are awesome! Tric is so lucky that you got him (at least for now)!