How do I simply and safely zip and backup all the files in "my documents"
into a flash drive or a cd?
Not inside Word, at all in any version.
Depending on what version of Windows you're using, you may be able to select the
files in Windows Explorer (a.k.a. "My Computer" or just "Computer"),
right-click, and choose Send To > Compressed Folder. If that isn't available in
your version of Windows, get a program such as WinZip or one of the free
public-domain zip programs (check Google to find one).
After the zip file is created, copy it to the other drive (or, depending on the
method you're using, you may be able to create the zip file directly on a flash
drive; but that won't work with a CD).