You can try here, although they might be full already:

http://www.lifetimeqatar.com/life/index.php?p=location

In my oppinnion there are many nurseries in Doha where I wouldn't leave my child. I had a bad experience but I won't mention the name, it's funny it keeps appearing in all adds. Parents should sometimes be more aware of what happens in the nurseries, focusing more on real care, the child-teacher rate, instead of just dumping the little one for couple of hours in the hands of anybody. Keep a watchful eye!