This is a just-published article about childbirth in HK, with 1st hand experiences from women (rather than the mostly male views here!).
Personally, I found the most important thing was having an experienced woman I trusted that could advocate for / advise me, which is why I used midwifery services which provided a dedicated midwife throughout pregnancy and after the birth. I think that private midwives are not allowed in the delivery room at public hospitals though, so this would be a major reason for a private hospital if it were me. I am unsure if insurance packages would cover midwives, but places like Annerley at OT&P might have some advice on this.