There are lots of pools in the village, and in my experience children don't care if it's cold - it's part of the fun. The temperature of the pools varies quite a lot. A rainy storm will cool them and a couple of days of sun will warm them.
Little Prince is a lovely place to stay. Dimitris, Pippina and Mexailis will make you one of the family in about ten minutes. You can stand on your balcony with a glass in hand and watch the comings and goings in the heart of the village.
You will be in room 101 or room 109. We've stayed in both. Both have their charms.
Shameless plug follows: my story Digital Rites has Little Prince in it. You can get print or Kindle versions on Amazon - just put Jim Hawkins Fragments into the Amazon search bar. It's part of collection of stories and has particular relevance for those staying in 101!
The rooms are lovely, the people are lovely, the village is lovely, the beach is lovely, the food is lovely, the prices are amazingly reasonable. So you have made the right decision!