We stayed for one week in the lovely appartement from Kiki & George with 2 adults and one kid. This 2 bedroom appartement has got everything you need. Clean, nicely decorated, a fully equipped kitchen and sitting on top of the hill you've got an amazing view over Ornos.
The communication with George went really smooth. Always replies within 10 minutes for all your questions. You need some advise to rent a car, ask George ;)
A nice extra is your neighbour, George's mother, who lives next to the appartement. She know all the good spots in Mykonos and has got a lot of great stories about the history of Mykonos.
For small families we would definitely advise this.