General :: Get A Shell Script To Loop Through A Number Of Directories And Subdirectories?

I'm looking to get a shell script to loop through a number of directories and subdirectories,looking for files that contain a particular substring, and renaming the file by replacing the search string with a different substring. For example if you had a directory full of folders that contained digital photos (along with various other files which would need to remain unaffected), and the intent was to remove the "DSC_" prefix from several thousand files buried within. I've whipped up a rather long-winded solution that works well for this purpose but chokes on directory names with spaces. I am reasonably sure there's a 2 or 3-liner that would accomplish this exact same task.

function investigate
{
path=$1
for file in `ls $1`
#for file in *

[code]....