All my Goex and Jack's Battle Powder are in the cans that they were shipped in. They, along with all my smokeless powder, reside in a couple of large coolers with snug tops. The coolers are in my "no windows" gun room/workshop. I keep traps set in the unfinished portion of our basement and get quite a few mice; even once caught a shrew. I don't know what the shrew was doing inside unless it was hunting mice; shrews are our only venomous mammal and I like their fierce, killer attitude. They kill animals many times their size.
Our only serious problem is that we seem to have, or did have, Norway rats. Never came inside as far as I can tell but the holes outside remain open. Our large, outdoor trash bin is plastic and those pests have chewed it so full of large holes that I'm not sure how much longer it can last. The holes are all over; chew holes are even on the lid! We had an exterminator come and set out baited live traps but caught nothing. I've even gone as far as to occasionally pour various noxious liquids in the holes. I think they may be gone (I hope) since I haven't seen any damage that looks new.