Holders specially adapted for orthodontic retainers, teeth aligners, mouthguards, dentures, and dental protheses; carrying cases specially adapted for orthodontic retainers, teeth aligners, mouthguards, dentures, and dental protheses; storage system comprised of storage bags and carabiners specially adapted for use with orthodontic retainers, teeth aligners, mouthguards, dentures, and dental protheses