Wash cabbage head thoroughly
Remove 1 large leaf for covering the top during fermentation
Slice out the core
Chop cabbage to desired size (you can use a food processor or even a grater but for small batches I just chop with a good sharp knife)
Add to large bowl and add salt and caraway seed
Mix and let sit 10+ minutes (this will help draw out the liquid brine)
Use your hands to smash, squeeze, knead to draw out as much brine as possible
Transfer to a half gallon jar (or any large glass vessel)
Press down as much as possible, we're trying to get the cabbage completely covered by the liquid brine
Put the reserved leaf over the top and weight down with something, again trying to get everything covered but the layer of liquid (there are special fermentation weights but anything heavy inside a ziplock bag works)
Cover and leave on the counter out of direct sunlight for 10 days to three weeks, opening the lid every day at least once to release gasses
Begin to taste at 10 days to see if it's the right flavor for you family - it will continue to get more sour as days pass (I usually leave for 2 weeks)
When flavor has been reached, remove large leaf and transfer to a glass jar and store in the fridge