My family are also huge fans of Smugglers Notch, summer and winter.
During the summer, their kids program is always the week that our kids enjoy most of all the camps they attend. They also have a super daycare program for younger children, prior to potty training, called Treasures. The director, Shelly, and her staff are truly first rate. While the kids are being entertained during the day, we get to have adult time over in Stowe, which is only a 15 minute scenic drive through the Notch.
During the winter, they start ski lessons for kids at age 3. It is truly amazing to see your 3 yo, who had never skied before, cruising down from the top of Morse Mountain. Additionally, the physical layout of the resort really lends itself to a kid friendly scene. The two mountains with the really challenging terrain, Sterling and Madonna, are segregated from the kid friendly confines of Morse, so you don't have to deal with the hot dogs wiping out and running into you or your kids. The lessons for adults are also really outstanding.