We loved our stay! We were upgraded from Red Lobster to the Pool House - both are in the same set of properties. Although mentioned as a "complex", they are much, much nicer and way more private than this sounds. All these villas look west and are on top of a hill, with fabulous views, and are set at angles to each other so that they feel quite private. Alfredos and his family looked after us very well. The villas are ten minutes drive from shops and tavernas, and twenty minutes from several beaches, most of which are very quiet outside the Athens holidays/weekends (we were in late June, and even had one beach totally to ourselves).
A car is essential (and we found our Satnav invaluable). We hired a car from Athens airport, although not many rental companies will let you take cars on the islands (we used Avis). If taking toddlers, you'd need to keep a close eye as there are drop-offs.
In summary, a fabulous stay, and we would go again.