The Amorgos Bus Company has timetables and ticket prices online. Summer buses go regularly from Katapola to Hora (€1.80) and Moni Hozoviotissis and Agia Anna Beach (€1.80), and less often to Aegiali (€2.80, 30 minutes). There are also buses from Aegiali up to Langada (€1.80). Schedules are posted at the main stop in each village.
Without doubt, the easiest way to get around is by rental car. Cars and motorcycles are available for hire from Thomas Rental or Evi's Cars. Expect to pay from €40 per day for a small car in August. There are only two petrol stations: one 1.5km inland from Katapola, the other in Aegiali.