Actually, most of us simply swish the filter pads out in used tank water to unclog them and put them back. They last a long time that way, but the reason we do it is to preserve the bacteria colonies on them.
You can have an ammonia spike when you replace them, but you shouldn't have a full-blown cycle re-do unless you scrub down your filter box, replacing all media, and also zealously clean your substrate and/or ornamentation. Tip: never, ever replace all your filter media types at once. Not many bacteria live in the water.