There's loads of information on this topic on this site as well as on www.expatwomanqatar.com. Usually the top 4 places that are mentioned are Al Ahli Hospital, Al Emadi Hospital, Doha Clinic Hospital and Hamad Hospital (if you want gov't). I would say majority of western ladies choose Al Ahli. I had my son at Al Ahli and it was a great experience.

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Be kinder than necessary, for everyone you meet is fighting some kind of battle.