The upside of going private clinics is you can choose your own obgyn throughout your prenatal appts till delivery. However in the event of any complications, private clinics are generally not equipped to support and they will redirect all emergency cases to KKH, of which you will most likely have to pay KKH private rates as a private patient because you didn't start off with public rates.
Alternatively one can still pick KKH private in their third tri too.