Zipliocs, vacuum bags, protective box.
I think we can all agree that dehydrated food should be kept in a dry, cool, dark place for storage. The question for us has been about the dry part. We prefer to use pint or quart sized Ziploc freezer bags or snack sized bags. Using individual vacuum sealed-bags is not desirable for us because the bags are not easily reusable, not readily available and are not recyclable.
So, after filling a Ziploc and pushing out all the air, It's easy to jam our backpacking meals in to a cupboard or closet, but how do we keep them dry and reduce exposure to air? We have a solution that is inexpensive, flexible, easy to maintain and helps to preserve our food; we store all of our bags of dried food in larger vacuum-seal storage bags which are protected inside of common hard-sided storage containers.
Keeping our storage bags vacuum sealed not only help to preserve our dried foods, but also helps keep the individual bags vacuum packed, which makes it easier for us to pack our backpacks or bear canister, which can result in significant space savings on longer trips.
See also, "Dehydrating Backpacking Food".