I like neat and tidy, too, but can't seem to manage it.
My sewing stuff is in different rooms in a small 3 bedroom house. My sewing machine (in cabinet) is in the master bedroom, along with a small--very small--Sterlite drawer unit that holds thread, needles, pins, other supplies, and my rulers and rotary cutters are in a plastic holder bag hanging on the the back of the bedroom door. My fabric (stash) and batting is in the closet of the guest room. I also have boxes of miscellaneous sewing supplies, etc. in a hall closet. I cut on the table in the dining area and set up my ironing board in that area, too. All three rooms usually show evidence of my current project. But I do tidy up between projects, and more often if something is taking too long to finish and I can't stand the mess any longer, or company is expected. I'd love a dedicated sewing room but can't sacrifice the guest room (need a space for grandkids when they stay overnight).