I wash all my fabrics and used to iron before storing, but not anymore due to too much time re-ironing.
I match up the selvages, not the ends as they are usually too crooked, fold in half, fold in half again, and just fold until the piece measures about 18" wide then fold in thirds to equal about 9" across. This way I can fit two rows side by side in the drawer. With see-through drawers it looks pretty.