They will ask you to try 順產, if you are different to delivery, then they will change to 開刀. You have no special reason, they will not do開刀 for you.
If you go to private, you should ready about $30,000 to $40,000. From my experience, I was 順產 for my first boy and second is 開刀. I was 順產, was fast recovery.
From my experience, 浸會 is better. I gave birth two boys both in 浸會. They have a dept to take care the baby and teach you how to breastfeed. so I felt very warm at that time.