We had a great stay at Polyxeni's house: it's located in a quiet area of Chora, everything is accessible by foot in the village. Polyxeni wasn't there personally, but her daughter Maria was there to welcome us - and had to wait for us as our ferry was late ! - and she explained us everything very nicely.
It's a traditional house that was redecorated with great taste. Kitchen is fully equipped and very functional and the bedrooms are charming. Some local liquor, raki psimeni was even there for us!
Like in old houses, there is a slight musty or drain smell, that soon dissipates when you open the windows, but I guess this should be fixed soon.
I would recommend staying at Polyxeni's house and in beautiful Amorgos!