Greydon House. This 20-room luxury boutique hotel opened last winter right next to the Whaling Museum. It’s a small and very intimate property where every detail has been thought through, including a world-class Michelin-star chef. From $149 to $2500 depending on room and season. 21 Broad. A hip yet very comfortable boutique hotel in the center of town with easy access to all town beaches, shopping and restaurants. Amenities include a large porch with a fire pit, free breakfast and a steam room. From $139 to $689 depending on room and season. The Nantucket Hotel & Resort. The most family-friendly option on the island, the resort offers one- to four-bedroom suites and cottages a few minutes’ walk to the heart of town. With a kids’ club and two heated pools. In August, the lowest room category starts at $625.