Congratulations! Nice gift for the New Year

I delivered in Al Wasl hospital, it was good enough. They have a very good equipment, I didn't notice any discrimination between locals and all others. Doctors are good, I had some complications during the labor which could end up with emergency C-section, but handled it very well and I delivered myself. Anastesiologist was perfect, I didn't have any of the side effects after epidural. Above all that we paid only 2500 AED for delivery and my husband was with me all the time and was allowed to cut the cord and make pictures.
You might want to go for American hospital or any other private clinic, but believe me - you will pay a lot more and there is no guarantee that your delivery will be more successful. Anyways, you are the one to see and decide where you feel more comfortable with the doctors and system overall. Disadvantage of government hospital - I never had one doctor. You come for a visit and see whoever is on duty. And you can't have C-section planned. In the government hospital they always go for natural delivery unless any emergency happens. In private clinic you may request for it.
Good luck!