There are so many different opinions and solutions to storing fabrics, but two things are mentioned again and again, and they do make a lot of sense:
1. Keep your fabrics out of the light so that they don't fade over time (especially when folded and on an open shelf, you may get fading along the exposed fold).
2. Fabrics needs to 'breathe' (So a solid plastic box, completely filled, with a close-fitting lid, and then not opened for a long time is not a good solution.).
Other than that...... whatever floats your boat!