create new key prefix

[ken]

I've defined quite a few new keys over the years and so would like to 
create a new key prefix.  I.e., I want to be able to define keys such as 
"C-c p s", "C-c p m", etc.  So how do I tell emacs that (for all 
possible modes) I want "C-c p" to look for the new key definitions.

From what I've read so far, how this is done depends a lot on the 
particular emacs version.  Mine's 22.1.1.


Thanks