We had a wonderful time at Damian's place. The apartment is outstanding. From the terrace you have a full view of the bay and Katopola. We were met by Damian's father at the ferry, so had no trouble at all finding the place. The apartment is located on opposite side of the bay from where the ferries dock, so it feels much more private and quiet. Nonetheless, it is only a beautiful 5-10 minute walk around the bay, so you won't feel isolated. The location is also ideal for walking to Maltezi beach. This is a smaller, but lovely beach that never felt over crowded.
The apartment was very comfortable, and had plenty of space for 2 people. More than we needed, in fact. I will certainly book this place again when we return to Amorgos!