Just the mention of a 10-mile runs makes me hurt
As for the faucet, can't really say without looking at it. In general, turn off the water supply, get out your tools and follow your nose. Typically there's a small cap in the end of the knob that hides the screw that holds the knob on the shaft. You can carefully pry the cap off, and unscrew the screw. Now the knob should be free to slide off the shaft, which is usually splined. It may require some gentle tapping and persuasion, and sometimes a puller. Once the knob is off the fun starts, because now you've got to figure out what keeps the valve stem from coming out, and remove that -- totally dependent on the faucet make & model, so you're on your own. Once that is removed, however, then just turn the valve stem in the "on" direction, and keep turning it until it comes out of the valve body (it's easier if you slide the knob back on and turn using the knob). Then you can examine the washer, threaded portion of the stem & valve body, and valve seat, clean, replace parts as needed, lubricate appropriately, and reassemble. There will undoubtedly be a devil in the details, which some of the real experts here will undoubtedly comment on...