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.
See also, "Dehydrating Backpacking Food".