Welcome to Sicily Debra J!
Take the train straight-through from Tropea to Taormina. Then take Interbus or Taormina’s ASM (Servizi Municipalizzati di Taormina) “Linea Verde” shuttle, or a taxi (€15) from Taormina’s train station up to Taormina.
You might also take the train from Tropea to Messina, and then take Interbus from Messina to Taormina. Some buses from Messina to Taormina are faster and travel via autostrade, but some buses take the coastal route via all the coastal towns.
Messina’s bus and train stations are both located at P.zza della Repubblica.
It’s advantageous and convenient to arrive in Taormina by bus – Interbus conveniently arrives directly in Taormina. Taormina's bus station is located near Porta Messina on via L. Pirandello across from the funivia.