I have found the government hospitals 'HMC' is good. There is Hamad emergency hospital at Al Sadd for kids with good doctors. But it is advisable to bring priscription medicines like antiallergic, antacid, antihistamic (Sp ?) ointments etc. from your country as these are very expensive here. I even stock Band-Aid. There is a list of medicine for common ailments which I keep updating when in India (only for adults). For the kid I rely on HMC or private clinics.