More details: http://www.edb.gov.hk/en/edu-system/preprimary-kindergarten/preprimary-voucher/index.html
And when you search for a kindy here: http://www.chsc.hk/kindergarten/index_en.html you can easily see which kindergartens are part of the voucher scheme.
The next obvious question, is how to find a local kindy. There is no secret trick, you have to look through the list of kindergartens in your district, look at the descriptions of each school, come up with a shortlist of those that interest you, then start calling/emailing/visiting until you find one that suits you and has space.
Only *after* doing that step one (making a shortlist), then start talking to other parents in your district and getting their opinions. Because, at end of the day, it does no good if the parents all direct you to a school that is either full or does not meet your needs or is too far from your house - so having your own shortlist first often helps. Plus you can always add another school to your list.
It will also make your conversation with other parents go better, as you will already be a bit more aware of the schools and locations and have good questions to ask them, and as a result leave the conversation much more informed.
Kindergartens in Hong Kong offer morning class, afternoon class, whole day class or some combination of the three. Some are religious, a great many are christian, some are not, many are bilingual, many are Cantonese only. I would go so far as to say that all offer a loving and caring environment for children.
Just remember, not every kindergarten is for every family. With all the variety in Hong Kong, you are sure to find one that suits you, in your district.
Related Links
http://www.topschools.hk/admission-arrangements-for-k1-places-in-kindergartens-for-201516/