The only times they will explode is if the cells get punctured, overly fast discharge, or overcharging.
They will be fine in airplanes, its just a matter of if the airline will accept lipo batteries. A good idea is to ship the lipos to your destination before you fly over
In high impact situations, look into hardcase lipos, they have a plastic shell over the normally soft and easily squishable cells.
Finally, for general storage, buy a lipo sack, it will save your house from burning down