We loved staying at the "Feelings House". It is on the East side of the island away from busy Fira and Oia, especially when 4 cruise ships hit port. It was very relaxing. Not to long of a walk to the beach. We rented bikes that were dropped off to us and also a car for a couple of days which was also dropped off at the house. I would definitely recommend Maria's home especially if you want to relax. There is also a bus that runs to Fira. We actually took it to Prygros to Santos Winery for a wine tasting and rode it back. Had no problems doing that.
Maria also arranged a taxi from the port and a taxi to the airport.