Gloves: Don't use nitrile gloves, unless the nitrile rubber they're made of is different from the nitrile rubber in the gloves at my lab. Those things dissolve in acetone pretty quick. Please test it first before starting off with any coins, and if the gloves disintegrate or get sticky, don't use them with acetone.
Container: anything glass or ceramic that you're not planning to use for human consumption afterwards. Lids are redundant for me as a soak never lasts more than a minute.
Grabber: fingies for me too. I don't trust any gloves not to be acetone-soluble, and I don't trust tongs to not scratch the coins (if made of metal) or be acetone-soluble (if coated with some kind of plastic or rubber).
Location: would seriously recommend not doing it in a regular basement, or anywhere else that's poorly ventilated. If you wouldn;t slosh gasoline around int he same space, don;t use acetone there. If you've got some kind of fume/dust extraction, or even just a good flow-through fan and plenty of open windows, it's not an issue. I always use the bathroom, with the ceiling ventilation switched on.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis