First thing - don't store them unless you really and absolutely have no other choice, such as when out on a country picnic with no toilet facilities. If there is a suitable diaper disposal receptacle, always use it, as the risk of transferring germs from a soiled diaper is extremely high. For those rare times when you have no other choice, use a container that is completely sealed, such as a scented diaper disposal bag that can be knot tied. Then bag this inside another bag to contain any germs. Handle with care and do not put anywhere near food, clothing, pacifiers, etc. Wash your hands after handling it. Treat any surface it rests against as suspect and clean thoroughly afterward.