Here is an idea for fabric storage https://www.hometalk.com/29474654/old-file-cabinet-to-classy-fabric-storage
And another storage solution https://www.hometalk.com/178209/diy-fabric-storage
Here is a sewing table tutorial https://dadand.com/diy-sewing-machine-table/
Cubbies are great for fabric storage :)
I did a rescue of a desk for my sewing table. It works great and cost $20 from the thrift store. As for storage, I wrap around cardboard and then put in a Sterilite container that has large pull out drawers. I stand them on end so I can easily see what I have as well as pulling out and putting back in without having to move pieces.
I like storing my fabric in bins, as others have suggested. Here are some good ideas for DIY sewing tables: https://thesewingloftblog.com/15-inspiring-sewing-table-designs/
I purchased a 3 tier plastic storage bin from walmart to hold my fabric and sewing supplies. I put the sewing machine on the counter or kitchen table to use.
This has become my sewing table and storage space...fabric is neatly organized in buckets underneath and no one can tell! https://www.exquisitelyunremarkable.com/2014/11/ring-clip-skirted-table-easy-diy.html
Here's some more ideas for fabric and thread storage.
I organized all my fabric in plastic cubes in a large closet wall to wall by color all the way to the top shelf.