In regard to your original question, home birthing in HKG is still illegal. You can have your own midwife (private midwife) but they cannot deliver the baby, it will be delivered by the hospitals widwife.
You can have a "doula" present at the birth as well as a birthing partner or support partner but they can't actually deliver the baby.
In agreement with everyone above, the public hospital system is very good. I've heard of people with premature babies, and babies with problems after birth which are very well cared for, and as someone said above, if you're in a private hospital and there are complications, they rush you to the public one.
If you're considering other methods of birthing such as "hypnobirthing" then the public hospital (Queen Mary that I know of) are starting to come to terms with the fact that giving birth does not mean it's an emergency and they stare in wonderment that a woman can give birth with no screaming and very little (if any at all) pain.
Water births are still way too much to deal with at the moment in HKG.
When you consider that dad's have only been able to be in the delivery room for a few years, HKG still has a way to go with "modern" birthing practices.