You will find Ponce de Leons Fountain Of Youth and the Bimini steps, supposedly a remnant of the lost Atlantis. Most beaches are on the west side of North Bimini, Radio beach being most popular.
The islands do offer variety; deep sea fishing, yachting, scuba and snorkeling. But it is best known as a relaxation destination. This is where Ernest Hemingway wrote The Old Man And The Sea.The main settlement is Alice Town, a collection of shops, restaurants and bars surrounding a single road known as "The Kings Highway."
Getting there: one must fly to Nassau, then take a connecting flight. There are several scheduled flights from Nassau, or you may charter a flight. (Info here.) There are resorts and villas, but the area maintains a quaint feel where chickens still cross the road. The Anchorage and Bimini Ocean Villas are on North Bimini, while The Bimini Sands Resort is on South Bimini.