Agree Sophie2, label your boxes very well -- I have boxes labeled fabric but not what kind and have had to rummage. Unfortunately, I was pretty ill when we moved so other folks helped me pack, so I have had to deal with things randomly packed. I noticed you don't have a closet -- that has been a savior for me as I had it fitted with drawers and shelves (and rods) that I use for my fat quarters and my rolled precuts. The shelves hold some of my batting (with other pieces of batting in bags on the floor in the linen closet and a storage closet). Since my sewing room will not hold all the fabric of my stash I have plastic bins of fabric in the garage. Most of my fabrics are ruler folded (I have some of the comic book boards, but they don't fit in the shelves my father made). I sort solids and tone on tone by color, then group by holiday, novelty, batik, fairy frost and Laurel Burch. I generally have the solids and batiks in the sewing room and the rest is in bins in the garage.
One thing moving has allowed me to do is better organize my fabric and my tools -- I found most of the tools that I had put in a "safe" place so I had double and triples of some things. I have donated some the church quilting group and the rest I donated to Goodwill. I am also giving the church the larger pieces of fabric that I don't think I will ever use.