There aren't enough logic puzzles about two parents trying to exchange an unwieldy item while carrying both a baby and everything the baby owns
In reply to @christianp
A mechanical puzzle: the baby has grabbed my glasses. I have to close my eyes so she doesn't blind me with their arms, but then I can't see where she's about to ram (or throw) them
In reply to @christianp
A public announcement puzzle where two sets of parents have to work out particular information about each other's babies, solely by loudly declaring facts to their own babies