Arrive in Acireale by bus as the train station is located outside town.
Take the Alibus from Aeroporto Catania to Catania, and then take Interbus or AST from Catania to Acireale.
Expect to pay € 55,00 from the airport to Acireale.
And € 50,00 for a prearranged transfer.
Thanks for your reply, Vagabonda. We're visiting in March next year - plenty of time to research our options, may hire a car - might be cheaper than the taxi!