Trim tops of beets, but do not cut the top completely off. This will keep the beets from "bleeding" out all their color while cooking.
Scrub beets under cold water and place into a large stock pot. Cover with water and bring to a boil.
Cook until the beets easily pierce with a fork. Drain beets into a colander or remove them to a large bowl. Allow to cool completely.
Wear gloves to prevent your hands from staining. Remove the skins and cut into slices or chunks into clean, sterile canning jars. The skins will slip off quite easily. Pack beets into jars leaving a 1-inch headspace.
In a separate large sauce pot, combine equal parts white vinegar, sugar, and water (depending upon how many jars you are making). Bring mixture to a boil and ensure all the sugar is dissolved.
Pour brine over beets leaving a 1/2-inch headspace. The beets should be completely submerged.
For refrigerator beets, simply place a lid on the jars and keep in the refrigerator.
For preserving, place a canning lid and ring onto jars. Place jars on a rack in a water-bath canning pot. Be sure jars are completely submerged under water by at least 2 inches.
Process jars for 15 minutes after coming to a rolling boil. Allow the jars to cool completely, remove rings, wipe jars and store on shelf.