You’ll live like a royal at this hotel built in 1729 by the Maharaja of Jaipur. In February, it reopened with contemporary style. There are still 18th- century paintings, Persian carpets, and a bedroom set used by Queen Elizabeth II during her stay, but most striking are the bold wallpapers in the common areas and the 30 suites. When you’re ready to venture out, the concierge can arrange Maharaja-worthy experiences, including private dinners in the City Palace. From $550.