What is it that you are hoping to get from these private clubs exactly? As far as I can see many of them (Kee Club, M1NT, etc) are just places that pander the certain residents' needs to pose and pout and show off how much money daddy put in their trust fund (or how overpaid they are as gambling bankers).
The China Club is quite a different thing from the other two (the average age must be at least double for a start). It has old money there, and could be good for business networking.