Recursive subfolder file scanning

[David Kwinter]

In the interest of making a backup utility I've found a problem which
perhaps someone has delt with before

I would like to specify a folder say:

/Macintosh HD/Users/davidkwi/

And have it identify all files with full paths, then in each folder,
sub-folder, sub-sub-folder, etc. collect all paths for all files regardless
of the depth of folders.

Resulting with something like:

/Macintosh HD/Users/davidkwi/Shared/song.mp3
/Macinotsh HD/Users/davidkwi/Shared/desktoppic.jpg
/Macintosh HD/Users/davidkwi/Pictures/Vacations/Whistler/mountain.tiff

I'm familiar with "the files" and "the folders" - the solution must be some
kind of function which gets the files and folders for a starting directory
then calls itself with each subfolder?