Rick love the sieve idea for seed cleaning! And the vault is on my Christmas list
I don't really use anything fancy, pencils or screwdrivers for making little holes, nail clippers for seeds that need to be chipped a bit before planting. Fine pump mister for inside watering and gentle hose spray for outdoor direct sown seeds. I do have a bulb digger that I use often.
I save seeds starting trays as long as I can and keep reusing them. Store them in the shed until after the holidays then they come in and get a good cleaning.
For seed saving I have lots of boxes from the craft store I decorate myself, plastic take out containers, baskets, tins, etc, whatever is cheap and looks pretty since I keep mine insight. Small coin envelopes, small plastic and glassine bags. Cut up card stock and labels, paper plates too sift over, small plastic or paper cups to dry seeds in for a while (watch the cats don't knock em over
If I didn't save, buy, trade and start seeds in winter I'd be in the looney bin for sure. Nothing beats a cold winter snowy day than seeing some green emerge form the dirt