Its most popular excursion builds on Exuma’s vaunted reputation for swimming pigs and an underwater filming site for James Bond’s “Thunderball.” Any number of tours and charters will take you to these sites, but Exuma Water Sports benefits from the local knowledge of the Lightbourne family, who has been part of the Exuma landscape since the American Revolution.

Besides these two highlights, the crew will point out the private islands of David Copperfield, Faith Hill and Tim McGraw, and other celebrities. At one island stop among Exuma Cays, you feed wild, fierce-looking iguanas grapes off a stick. At another, you snack on fresh local pineapple, explore a deserted beach, and take a cool swim. An isolated sandbar, lunch at Staniel Cay, and swimming with sharks complete the full-day itinerary.