Problem with parsing filenames containing spaces

Shell Programming and Scripting
1

I tried using the following options to parse the *.sh files in a dir
(the name can contain spaces). But each of them breaks:

FILESSH=$(ls /mysh/*.sh)
 
echo "$FILESSH" | while read FILE ; do  --- do something --; done

This does not break for any whitespaces in filenames

 for FILE in $(echo $FILESSH) ; do  --- do something --; done

This breaks for any space in the name

for FILE in /mysh/*.sh ; do  --- do something --; done

echo "$FILESSH" | while IFS= read -r FILE ; do  --- do something --; done

Code 1,3,4 breaks if no sh file is found in the directory (they goes in loop once)....Code 2 does not but it breaks for any space in filename Any better ideas..??

2 
for FILE in /mysh/*.sh ; do
  [ -f "$FILE" ] || break
  :--- do something --
done