Just don't walk off and leave your Kindle or reader in the pocket of the seat in front of you or just on the seat itself on the plane. Besides Taxis, that seems to be where most seem to disappear. You can buy an extended warranty plus accidental breakage coverage from Square Trade or Amazon which covers one broken reader. Great sale at midnight the 27th for 40% off on Square Trade warranty. The code is posted under the Freebies thread.
Congratulations on getting a new reader.