If you want to savor a historic Alpine vibe, head to the heart of Chamonix and this intimate inn founded in 1793. Although the accommodations may be modest, they offer good views—there's nothing quite like relaxing in your tub and looking out the window at Mont Blanc. Ask for one of the newly renovated rooms. There is no restaurant, but right next door is Brasserie de L'M, where reasonably priced Savoie specialties are served. The hotel shuttle bus can take you to the slopes.