Esque, If you are form Manhattan Height, you didn't have much choice.
Red Mini buses just close to your apartment was the easier and faster way. Since the place was the started point, easily you can ask the driver whether pass by Caine Rd or not.

You can just pronounce "caine lo" since cantonese have the similar pronounciation.
If you willing to change buses, as Humanbeing say the #13 green mini buses lead you to Pokfield Rd (opposite of the Pokfield Rd Bus Terminal, intersection of Pokfield Rd and Pok Fu Lam Rd), from there you have a lot of choices.
#8, 10, 10A, 10B, 11, 22, 22S, 28, 31 green mini buses can lead you to SOHO area.
#8, 10, 10A, 10B, 11, 22, 22S, 28 green mini buses can lead you to LKF area.
Most of the others buses (both mini and big bus) from Pokfield Rd will pass by the "upper level" road depends where you headed.