Start by rinsing the forceps with distilled water immediately after use to remove blood and tissue debris, then clean with enzymatic detergent and a soft brush, paying special attention to the hinge and serrated jaws. After thorough drying, place them in a surgical instrument tray and sterilize using an autoclave at 121°C (250°F) for 15-20 minutes, which is the standard steam sterilization method recommended for stainless steel surgical instruments.