Hora (Amorgos) in detail
The Amorgos Bus Company has timetables and ticket prices online. Buses link Katapola, Hora and Aegiali.
Some places to stay in Hora, such as Emprostiada, offer free port transfers to/from Katapola and Aegiali. Check when you book.
Picking up a rental car at either of the ports is a good option. Or get one from Evi's Cars in Hora.