This will go into one subdirectory. The inner loop forwill iterate over closed files and directories. The operator ifexcludes directories. You can set options to include hidden files and directories ( shopt -s dotglob).
shopt -s nullglob
for dir in /some/dir/*/
do
for file in "$dir"/*
do
if [[ -f $file ]]
then
do_something_with "$file"
fi
done
done
It will be recursive. You can limit the depth using the option -maxdepth.
find /some/dir -mindepth 2 -type f -exec do_something {} \;
-mindepth , ( , -maxdepth).