Just a thing I want to share, even if 80k a month is a fantastic sum of money, this is Hong Kong, forget that you can everything in one apartment, it will be a compromise. The requirements you have stated so far should be possible to satisfy though.
Robinson Road is extremely convenient to get down to Admiralty with bus. I'm not really sure though what buildings have a satisfactory pool size (since that seems to be important to you). Otherwise the best pool I've seen I think is down in Soho at Center Stage, you should check out that building. I think your budget is high enough to get one of the bigger apartments with a nice view there.
PM me if you want help with a real estate agent company that is really good, it can be very frustrating walking around with local agents as a westerner.