I've taken plastic tubs that have lids, and added a closed cell foam weatherstripping to the lid to make them air tight.
What would be best is to put them into moisture blocking anti-static bags, with a desiccate gel pack or two. Then store them in conductive boxes. Put labels on the bags and boxes saying exactly what is stored in them. That way you don't have to open the plastic bag to find out what the real is.
Go get the manufacturer's specification sheet for every part, and find out if they need baking out before use, and place stickers on the bags telling what needs to be done before use. Some parts gain moisture, and others don't care. For those that gain moisture, have the bake out instructions on a sticker on the bag.
You can get moisture sensing cards that you can stick in to the bag to figure out if it has been exposed to to much moisture over time, and needs baking out.