Just do it. This is the perfect place to stay. The view from our patio was amazing. The pool was warm. The room was clean. It was a perfect start to our honeymoon. The breakfast was INSANE. Plan on eating it all never. It was just me and my wife, and we had enough to feed all the village cats and dogs. They deliver it when it is most convenient for you too.
Anna is the best host I've had. Period. No questions asked. She was super helpful in coordinating everything. She's super responsive. She's all you could ask for in a host.
Fira, Imerovigli, and Oia were beautiful towns as well, but Pyrgos is the place to be for some quiet and privacy. Perfect for our honeymoon. The town square is a 5 minute walk. Don't be fooled by the small town square. Walk up the steps and you'll find more restaurants and shops all throughout the town. Just explore Pyrgos. Also we had the best dessert at the cafe nearby. They had a chocolate souffle that was to die for. The bus comes every hour and takes you to Fira where you can hop on any other bus to all the other towns in Santorini. There is also a rental car place 5 min from the place. You can rent a moped, atv, buggy, and/or car for a decent price. Pyrgos is the perfect place to stay at one of the highest towns on the island.
Like I said, JUST DO IT!