If you are living in Wakra, a drive around or search thru Qatar Living.. would help you to locate quite a few, though I cant comment on the quality of services provided, but can throw some light based on my experience...
1. I feel your 2 year old still young to start a nursery as such, if you are working and need a place to leave the baby then a baby sitter is more advisable
2. I had my son enrolled at a nursery and although they were ok i found 2 basic issues there, one the more the kids at daycare the more the chances of falling sick, they all are small and vulnerable so can infect each other.. and second is at daycare centers the caretakers change and hence there is not enough personal care.
3. I found for my daughter a good babysitter luckily, a lady who takes care of kids at her home, she is loving and caring, feeds, puts them to nap etc and the main point is my kid is happy to go there !