The Waldorf Astoria, Park City, is kicking off this year’s ski season with a bevy of winter-themed offerings—the highlight of which is the chance to hone your ice-skating skills with the U.S. Olympic speed skater Patrick Meek. Technically, the private session ($120 per person) is no longer available, but it can be arranged upon special request. The Patrick Meek session is part of a larger program called the Majordomo Package, which starts at $869 per night for accommodations in one of the resort’s 30 one-bedro…