This is a lovely old typical Greek house, it is full of character and very quirky by modern standards, but that is part of its charm.
We stayed for about eleven days with two teenaged children and the house was adequately equipped for us to manage quite happily. However, you should note that it has little in the way of modern comforts (such as wifi, washing machine and air conditioning) and while that suited us fine, it may not be to everyone's liking. The kitchen is basic and has a fridge/freezer, cooker with three ring hob and there are a few pots and pans so we were able to cook simple family meals.
Despite not having air conditioning the house was very comfortable, particularly at night and there is nearly always a refreshing breeze in Amorgos. One thing to be aware of is that despite being high above the town, one or two of the bars do play loud music pretty much all night and, particularly if the wind is blowing towards the house, the sound travels surprisingly well to an extent that we found it necessary to close the shutters and bathroom door to prevent us all being kept awake.
As has been previously mentioned it is a long climb to the house from the town finished off with about 180 steps - again, this wasn't a problem for us but it's an important consideration particularly for anyone less able. You do however benefit from a fantastic view of the port and sea with glorious sunsets that can be watched from the terrace.
These points aren't criticisms as we loved the house and Giannis was really attentive and helpful, but just information that we hope will help other travelers.