The archaeological museum and lively Piazza Bellini are just outside the door of this centuries-old palace, but a cool contemporary redo takes the edge off city life. An outdoor living room fills the cobbled courtyard, and the rooms that range across several floors are minimalist chic with warm hardwood floors, neutral tones with warm-hued accents, sleek surfaces that make plenty of space for storage, and Philippe Starck chairs and crisp white linens. Some of the rooms have terraces and balconies, a few are bi-level, and some with limited views are set aside in an “economy” category—but rates for any room in the house are reasonable and make this mellow haven an especially good value.