After the soak, rinse every single part with clean, hot water. Seriously, get all the soap out. Soap residue makes water taste like a bubble bath, and nobody wants that. Rinse until your hands feel the parts are slick-free.
Now, dry everything with a fresh towel. Or let them air-dry while you do a celebratory dance. Just make sure no water droplets are hiding in crevices—they love to breed mold when you’re not looking.