New Providence is a very small island and has buses, but transportation to Nassau from the airport is still not available. You can take a cab, transfer from your hotel, or rent a car. Tips for tourists regarding transportation in Nassau are simple - it is easiest to provide yourself with a rental car and not depend on other conventions. Prices for transportation in Nassau will depend on where exactly you rent a car. Cabs are metered, and distances are short, so you can travel quite economically.
Nassau's public transportation is represented by buses and minibuses (jitneys). But you won't find a regular schedule and numbers, they move rather chaotically, and often on demand. They run every 5-10 minutes, from 6:00 to 18:00. Shuttle cabs run along the coast and into the suburbs, and operate from 6:00 to 18:30.
And, of course, water transportation is developed here, for example, you can get to Paradise Island by water cab or ferry, if you do not use the isthmus-bridge. The ferry also makes a small cruise near the houses of famous personalities and several forts of the island.