We stayed at Hilton Sorrento Palace 4 years ago and going back in September. You can arrange a private car/driver for a day going to Positano, Amalfi, Revello. stopping in each town to enjoy shopping, lunch etc., Also several stops along the way to take pictures. It was very reasonable and worth every dollar. Picks you up and drops you off at hotel. I would echo the post to check out the Sorrento Forum on TA. There is a wealth of information regarding bus and boat options.
We also took a tour to Pompei for the day, arranged directly with hotel. Went to Capri on our own. Relatively easy walk to marina and boats run several times a day. You will really enjoy the hotel and leisurely afternoons in town to shop and drink. Enjoy.