All 3 major US cellular providers have roaming agreements @ BDA, easiest if using/bringing your own unlocked quadband GSM devices - but CDMA users from VZW will work too - roaming is expensive, please check with your home carrier for details and make sure international calling is enabled for your mobile #'s. Broadband access prices are reasonable for prepaid plan user but it isn't super fast (DSL or good old copper, no 4G LTE yet) for the small island chains out in the Atlantic - SMS with the mainland is what we use most often. Do NOT expect free WiFi services and there are no Starbucks or McD's.

DigiCel is one of major provider and it also serve most, if not all of the Caribbean islands, with retail store locations in downtown Hamilton & also at Dockyard, where large cruise ships stayed when visiting - so it's easy to pickup a prepaid Sim card & get services activated, especially if OP is planning to become a regular visitor. http://www.digicelbermuda.com/en/retailers/index.php

When we last visited in 2012, we're able to get 3 days of broadband access, good only at the Dockyard piers area, for $15 USD - dirt cheap compared to our cruiseline was charging, by the minutes

P.S. I should note that off-duty cruiseship crew members onshore are still using old fashion calling cards @ public booth to dial home (mostly to SE Asia) - YMMV.