Now, take off the drip tray (that little grate under the spigots). It usually pops right off—no tools required, just gentle persuasion. Then, pull out the hot and cold water taps if you can. Some models have removable nozzles; check your manual or just wiggle them until they surrender.
You might also have a small white filter inside the tank. If yours has one, take it out and rinse it under warm water. Don’t scrub it with soap—this little guy is delicate. Think of it as a shy sponge that just wants a gentle rinse.