In Santorini you can either move with your own vehicle or rent a car.
Alternatively you can use the KTEL SANTORINI (information in www.ktel-santorini.gr and telephone 22860- 25 404)
Santorini has also taxis (tel. 22860-22555)
To visit Thirasia, Palia and Nea Kameni and several beaches you can take one of the boats that start from Gialos in Fira, Athinio and Ammoudi in Oia.