I have stomped more cabbage than all of you put together have eaten.
Here is the tried and true German peasant way of making sauerkraut. My mother used to grow a hundred or more heads of cabbage a year, almost all of which was usedfor sauerkraut.
Slice cabbage fine, using a wooden Krauthobel. Or, if you're being modern, a food processor.
Note: Not all cabbage is created equal, as far as sauerkraut is concerned. You want cabbage with a fairly high water content. If I remember correctly, my mother's favorite cabbage to grow was Stonehead.
Place a layer approximately 5-6 inches thick in a large earthware crock. Sprinkle copiously with salt (several handfuls). Put a thin layer of cabbage over the salt. (This is for the sake of the child - see below.)
Scrub the feet and legs of a small child* well, after which the child is carried to the crock and placed in it, assuring that the child's feet touch nothing except cabbage after being washed.
*Any pre-adolescent child will do. Once hormones set in, children start to become stinky, and are no longer suitable foot stompers. They can be used to stomp the cabbage with a large bat at this point.
The child stomps the cabbage until enough liquid is released to completely cover the cabbage. At this point, the child sits on a chair next to the crock, ensuring that the feet continue to touch nothing other than the cabbage. Another layer of cabbage, salt and cabbage is added. Stomping resumes.
This is repeated until the contents of the crock are within several inches of the top. There should be about an inch of liquid covering the cabbage at this point.
The cabbage is covered with several layers of cheesecloth. A piece of wood cut into a circle that fits into the crock is placed over the cheesecloth, and is weighted down with an old gallon jug filled with water.
The process is repeated for the next crock, and the one after that, and the one after that.
When all the crocks are filled, covered and weighted, fermentation begins. Fermentation occurs more quickly if the room isn't too cool. That wasn't a problem when I was growing up - no AC. Every day or two, the kraut needs to be checked, and any scummy portions on top are skimmed off. When the cabbage is sufficiently sour (a matter of weeks, not days), it can be canned or frozen. Be prepared for stink during the fermentation process.
I was the foot stomper until I reached adolescence. Then I became the bat stomper. After my nephew was born, and after he achievedadequate weight, he became the foot stomper. Then he neared adolescence, and I once again became the bat stomper.
Once my mother started being able to obtain juniper berries in the U.S., she started adding them to the kraut. It's great without them too. Carraway seeds are an abomination, though. (See below.)
Or, you can follow Alton Brown's instructions:
http://www.foodnetwork.com/recipes/alton-brown/sauerkraut-recipe/index.html But for God's sake, leave out the carraway seeds!