Hi, just take the baby's passport (preferably with the Visa page stamped), to the Vaccination Unit at the Messaimer health centre (near vegetable market RA). Also take with u a passport size picture of the baby & records of all vaccination given to him till date. They will issue the green card & put all the info on it. There is no separate health card for new borns up to the age of 1 yr. His green card will also serve as his health card. Carry ur health card + QID as well although it may not be required.
All the best.