If anyone is interested in an amzing but fairly quiet island, Providenciales, Turks and Caicos is definitely worth looking into.
I went with my wife and 8 month old baby two summers ago and we had the time of our life. We stayed at the Regent Palms, absolutely beautiful hotel, and was just renovated and upgraded before we came.
The beach is amazing, white powdery sand. There are other hotels that are more geared for children but we were so happy to have booked this one. We really felt that we were the only ones in the hotel.