Be gentle with your BJD clothes. I typically use self-sealing bags, which are cheap and effective. Try to get thicker ones, and store each piece separately to avoid creases. Then, organize them in a large drawer. There are recommendations for transparent file boxes, but I think they take up too much space and are too expensive. Hinoon, if you don’t mind the extra cost or want a more organized look, they can be a good option.
If your clothes have metal parts or you live in a humid area, be sure to put some desiccant in the bags. Desiccants are easy to find online and are quite affordable.
