^ Those are very useful! I would suggest putting your beads in one of those after
the move, unless, the drawers have lids that really snap in place. You don't want to pick up the whole thing and have your carefully sorted beads mix up during the move.
If you have a lot of the same kind of beads, as in you don't need a thousand little containers to sort these beads, you could always just use cheap containers with lids. Shoebox size would stack well. Or even a real shoebox.
Or if you do need to sort these, by color or type, you could always save (and ask friends to save, too) altoid tins and other small containers of that type. These could then be stored inside your larger boxes or cabinets or dresser. I used to go through altoids like...well, candy
so I had a lot of tins and used those for a very long time. I still have some of my favorite beads in some. I've also done the very cheap route, small snack bags, of the zip-sandwich-bag style that I bought at the dollar store.
Hope this helps!