It can depend on what you're doing. Another way is to set activation to none.(Relation tab|Activation).
Thanks SirSmiley
My main concern was to prevent the individual objects from being moved independently of the whole. If I grabbed the main body part and dragged it, everything else moved with it, but I didn't realize I could grab the glass and move it off the main body part.
Putting everything in a group seems to have fixed that.

Uploaded the new file ... should be ok now