When visiting Amorgos I would highly recommend staying in one of Despina's apartments, whether as a single traveller, couple or a family. This is especially true if you want to be near to Aegiali which is very close by at just a few minutes distance by car. Katapola is also just 20 / 30 minutes by car or bus.
Despina met me personally in Aegiali when I arrived, she was prompt, friendly and able to offer loads of useful advice about the amenities and things to do on the island. She is from Amorgos so her knowledge is second to none.
I was very happy with the apartment. It was spotlessly clean, in a beautiful location in Tholaria with great views down into the bay. Despina ensured the apartment was cleaned every day and was available throughout the visit to offer advice and help. She lives in a neighbouring apartment which meant she was always on hand to help. Everything was available in the apartment to make it a home from home. This included such things as plates, cutlery, bottle openers, glasses, clean towels, shampoo and shower gel, a sparkling clean fridge, pristine bathroom, iron and board, wardrobe and plenty of coat hangers. Even clothes drying racks provided on the balcony.
All in all this is definitely one of the best AirBnB properties I have stayed in and I wouldn't hesitate to return or recommend it to others.