how do I get from the cruise ship terminal in Catania to Taromina?

Hi Heathermlowe! Welcome to our little corner of the web. I can not speak of current rates but last year we took the bus from Catania to Taormina. It is, I guess, about a 30 mile trip. It took us about 45 minutes. We paid 4.5 euros to get to Taormina and we paid almost 7 euros for the return trip. You can take the train but I believe you will still have to get on a bus at some point. The bus does have an airport stop.