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The two private islands that Carnival is usin on its Eastern itinerary are Half Moon Cay an Salt Cay. Neither one has a fee attached but as mentioned, sports equipment, floats, fins, jet ski's etc. are all available for a fee. If you don't want to tender over to the island, of course you can stay and relax on board. If you ship docks at Nassau, you can get off and take a taxi wherever you wish to explore. Atlantis is great if you have never been to this resort.