and presents well is the use of Gem Jars. These are readily available on Ebay although more expensive than the boxes. They come in varying sizes and may be contained in a tray or loose in foam sheets. The sets of gem jars in trays are very useful as they can be stacked. They offer the opportunity to view the specimen without handling it and a round self adhesive tag underneath can contain a unique number which can be loaded into your register of fossils. Gem jars may not be large enough for some of your specimens and so a petri dish may offer a good alternative with a cut foam blanket to hold the specimen. In a similar way to the trays of gem jars, you can load these larger petri dishes into boxes with a layer of foam (cut out to fit the petri dish or individual fossil). See below.
In order to cut foam circles to fit differing size gem jars or petri dishes use a tin can with the top cut out (using a sideways cutting can opener). Beware the sharp edge. Rest the edge on the foam and turn slowly to “cookie cut” the required hole. An adjustable cutter may be made by cutting off the top and bottom with a side cutting tin opener and then cutting length ways along the tin. A metal hose clamp will hold the round shape and allow adjustment to size.
Small sets of storage drawers are available at major office supply outlets. These are available in timber, carboard and metal. A more expensive option (workshop tool drawers ) may be obtained for hardware stores. Otherwise use an existing cupboard or shelves (not in a laundry or other wet area).
Your fossils have survived for millions of years in the open. With your good storage and curation it can be preserved indefinitely.