F.A.O. BenderBends:
The number 10 minibus which goes from the Cyberport bus terminus to Causeway Bay passes through Bonham Road. If I am not mistaken, it stops at the David Trench Rehabilitation Centre (across the road from the Café O). You can alight at Queensway in Admiralty, right beside the MTR exit C1. At the same stop you have the choice of taking the NWFB/Citybus routes 40M and 103 (more expensive as it is a cross-harbour service).
If you prefer to catch a bus from Park Road (may be quicker as, you can avoid the Caine Road traffic) your choices would be the 23 and 40, both of which will also take you to Admiralty Station.
However, if you walk down to Good View Court (51 - 53 Bonham Road), about 150m west along Bonham, there is a bus stop where all of the above stop.
I am trying to think of a service that passes through Bonham Road and will take you down to Hong Kong Station as taking the Tung Chung Line from Hong Kong Station to Lai King and then switching to the red line to go to Tseun Wan will be much quicker.