All mine is in rubber made containers.

I think it depends on where you are storing them. How much humditiy, sunlight, and dust in the room. I would choose according to factors like these :D:D:D

i wash my fabric before i use it so if it gets dusty its np. I also do not have them in the light. Only light comes on when i sew. I keep it pretty dark in there to keep it cool.

Thanks for asking the question, I also wondered...will be watching for the answers

the best way is the way that works for you

I too didn't know what to do with scraps. When I stored them in a big basket I never used them because I couldn't find anything. Now I put the scraps form each project in a zip lock bag and store them is the basket. When I need something it will be all together with the same colorway scraps and in fairly flat condition.
Vicky

I think an important factor is to avoid exposure to light.

(some) fabrics will fade or change color along the exposed fold lines

I use plastic drawers/tubs that are semi-transparent so I have an idea about what is in each drawer/tub. I put silica gel packets in with them to absorb moisture. I re-use the silica packets that come in shoe-boxes, shipping containers, etc. So far so good!

The correct ways to store your fabric is NOT the way most do it.
It should be folded or hund out of direct sunlight.
Moisture should be kept at a minimum as well.

Cotton is considered a living/breathing fiber. Meaning that even after being dyed/printed, it is still able to breathe in anything it comes in contact with. Cigarette smoke being the #1 thing we can all atest to ruining fabric.
But storing it in a sealed baggie, or tote can do just as much harm. It dries it out causing dry rot! Storing it in a closet or chest with bare wood, causes the yellowing as the acids in the wood make gas fumes that leach into the fabric. Storing in or on cardboard that is not acid free/archival board will cause bleaching out of the dyes as the acid in the cardboard makes fumes. All of these also cause detoriation in the fabrics over time.
SO if you are going to store it on a shelf, make sure it is completely painted/sealed. I also put down some cheap poly/cotton muslin as a shelf liner!
If using cardboard, make sure it is acid free(the bolts it comes on is NOT acid free and are meant for short term storage only).
The folding over the ruler to make each piece measure the same is the best way to make sure you know what you have and how much. It also makes for easy rotation!

ditto ditto