Prince William and Kate Middleton don't always vacation alone together, but when they do, they do it at the brand-new Cheval Blanc Randheli. Designed by architect Jean-Michel Gathy, all the architecture is modern but meant to enhance the gorgeous natural surroundings. Warning, if you want to travel like the royals it will cost you . . . $2,100 per night! But, considering the view and the residences, we wouldn't expect anything less.