Park City, UT
Park City Mountain Resort
You can't get any closer to town than this place; the "Town Lift" picks you and your gang up, right at the bottom of Main Street.
What's more, the 3,300-acre resort caters to skiers, snowboarders -- and kids. Children six and under ski free and there's childcare for tiny tots. If your youngsters are new to the sport, take a private family ski lesson. They learn the basics while you get tips on honing their techniques.
If you want to squeeze in as many runs as possible, there's night skiing (the only resort offering it in Park City). You can't stay over (there's no hotel onsite), but Park City Mountain reservations will arrange for ski-in, ski-out lodging next to the resort.