Cross Country Skiing:
If you'd like an alternative to alpine downhill skiing, compare several cross country Utah ski courses. The White Pine Touring course is directly out the back door of the Park City Townhome. Rental equipment, lessons and course fees can be arranged at the pro-shop located at the first drive on the left (west) north of the Park Ave Condo Entrance; or just ski over.
Other Winter Sports:
Besides skiing & snowboarding, don't forget other winter activities like snowmobiling, snowshoeing, sleigh rides, and, especially for children, snow tubing. At the Utah Sports Park (only a couple miles north) look into heli & cat skiing.