Between May and September, KTEL Tinos has at least two buses a day from Hora to nearby Kionia (€1.80, 10 minutes), and northwest to Panormos (€4.50, one hour) via Kampos (€1.80, 15 minutes) and Pyrgos (€3.60, 50 minutes). Services are much more frequent in July and August. The Hora bus station is on the harbour near the port. Buy tickets on board.
The best way to explore the island is with your own wheels; you can see a lot with a one-day rental. Vidalis Rent a Car & Bike has four outlets in Hora.