We stayed in Irene Villa with Private Pool. The villa was in a location which required transportation which was made easy. We rented a large van which we drove ourselves and also had access to a driver when we visited a winery and went to dinner in town. Stephania, the villa host organized this for us and it was affordable.
Our unit was used for a 3-generation Family of 7. The kids enjoyed the small pool and the entire village (group of villas owned by the same owner) was quite charming. Our unit was spacious and we enjoyed the lovely common area for breakfast, snacks and cocktails. There is also a small pool there. There are some steps and small hills in the villa (which is the case in much of Santorini) but my 78 year old parents were able to handle. Cleaning service happened daily which is not always the case with BNBs. This was rated as a 3-Star but I would say it is better than that and a terrific value.