The train ride from Termini in Rome cost 5 Euro each and took a little over an hour. It is about a 10 minute walk from the railway station to the cruise shuttle bus and I can see no reason to pay for taxis or transfers.
Napoli (Naples) Archaeology Park of Baiae Since we had already seen Pompeii and Herculaneum we did something quite different. We dived/snorkelled at the archaeological park at Baiae. We organised this in advance through http://www.napolidivingcenter.it/?id_lingua=en and were not disappointed. This is a sunken city complete with masonry, statues ( copies of the originals now in the Naples Museum) and mosaic tiles. Baiae provides English with the word Bay and is truly a unique experience for both certified Scuba divers and snorkelers.
We took the cable car up to Fira then walked down through the donkeys after site seeing. We should have used the speedboat transfer to Oia which included a bus ride back to Fira and then the cable car back to the port, Next time.
We just walked through the old town. The highlight is the hospital of the knights of St John which is now a museum. The so called palace of the knights of St John is really a 1930's rebuild by the Italian Fascist governor and not really worth the entrance fee.