@haveawhiffonme, if there’s enough room, you can place a small hanky or a paper tissue on the top of the vials in the tea tin. As a filler/buffer for extra safety. Vials are great for snuff, but they are fragile, and things do happen.
Those 20 ml old vials I had were wide enough for a hassle-free refilling, using a folded sheet of paper. Black cylinder is a rubber stopper with a hole, which is really handy for pouring out the right amount of the snuff on the back of the hand, but needs its own tiny stopper in its turn (I used a piece of crumpled paper). I could not find a picture of a vial with the very same stopper, so merged two separate images which I found online.