find -execdir rename
This renames files and directories with a regular expression affecting only basenames.
So for a prefix you could do:
PATH=/usr/bin find . -depth -execdir rename 's/^/Unix_/' '{}' \;
or to affect files only:
PATH=/usr/bin find . -type f -execdir rename 's/^/Unix_/' '{}' \;
-execdir
first cd
s into the directory before executing only on the basename.
I have explained it in more detail at: Find multiple files and rename them in Linux