congratulation....
I think there would be no formal answers for your questions.
From my experience, i make the decision for where to give birth very late (in 7th month) and even changed the doctor.
I had registered in both private and puplic, think that in case of any emergency, might need to go to A&E at nearby
During the 1st appointment, apart form having physical exam, usually would ask you
- health record of you and husband
include the date of last menstruation period
- any miscarriage / abortion before
- family health condition etc.....
might other could help to add more information if missed