I'm looking for a nice hotel in the Bodrum Peninsula that has a Kids Club that accepts children of 3 years old (most accept only 4 years old and up if they are on their own). The whole point of having a Kids' Club is that you can relax while the kids are having fun!!
I just checked with a national travel agent who specifically cater for hotels/resorts in Turkey and as far as they are concerned kids clubs are from 4 to 10/12 years depending on the hotel...however it was suggested that you could take your chance and ask if there was a space available for your child and if your child is fully potty trained and can play well with the other kids they may offer to keep him for a while...
The other suggestion I have is can you take a family member/friend on holiday with you to share the parenting duties?