The main thing to do is keep them out of the sunlight, that will soon ruin any boxes or cartridges (shotshells) you have, no problem with brass. Keep away from heat and also cold as both will spoil them as will damp.
You can buy plastic containers for boxes this does allow them to be handled, otherwise don't unless you have too as this will also add to the wear.
Best way to keep them is in draws (Bisley cabinet works well) if you are going to display them then be very carefully about where you have the display and what goes in it, as once they are ruined you have no way back.
Well for what it is worth I hope that helps.