I would definitely make a reservation at Bergamo's. It's very tasty Italian food coupled with a waitstaff that sings opera and musical numbers. We love it!
Melissa used to be the chef at the much lauded Old Chatham Sheepherding Company Inn (New York's Hudson Valley), which she left to open Primo in Maine. She opened Primo in Orlando a few years later.
Can we bring kids to Il Mulino? Well behaved but young- and old actually we have 4 of them. and do I reserve this through Disney dining? Or just the Swan?