You should not clean coins. You will probably halve the value. You should put them on a velvet tray or stash them inside paper envelopes. Handle the coins by the edges because acid in perspiration eventually leaves a mark. If you display them in cabinets, make sure you have the right wood.
Mahogany is best.
Cedar and other woods give off toxic fumes that discolor coins. If you put them in a safety deposit box, store each coin in a separate paper envelope. A coin shouldn't be rattling around with other coins because their edges might cause nicks. Temperature does not really matter, but it's a good idea to store the coins when it is not humid to avoid trapping moisture. Thai Rama IV 2-baht, undated.