Hi,
I use to live in Bermuda and am headed back on a cruise in a couple of weeks.
You will be docking at the West end of the island called both King's Warf and Dockyard as it is the only place the big ships can dock. From here you can take the ferry into Hamilton, which is a nice ride across the Great Sound and it takes about 20 minutes if you get the express ferry. The good beaches are on the south shore. Horseshoe Bay is my favourite and has some good facilities. It is a quick bus or taxi ride from Dockyard. You can buy a three day transportation pass for both the ferry and bus. This is the most cost effective way to get around.
In Dockyard is a Snorkel Park, Dolphin Quest dolphin interactions, Maritime Museum, a craft makret, glass blowing, rum cake factory and a little mall with stores in it. It is all set in the old British fortifications so very nice. The Frog and Onion Pub is there too. They have the best burgers.
St. Georges is on the East end of the island and will take about an hour to get to from Dockyard. There is a ferry that goes there too. If you have any specific questions let me know, and if you want I can pick up some info when I am there in a couple of weeks and mail it off to you.