Garlic is one of the easiest crops for us to grow here in Southern California. You just take the large, outer ring of cloves from store-bought garlic and stick them in the ground with the pointed side up interspersed throughout your other plantings–wherever you have some room. We plant them around Thanksgiving and harvest in late May/early June when the stalks begin to turn brown and fall over. After you harvest your garlic, don’t wash it just knock the dirt off, then let it “cure” with the stalks and roots intact in a dry place inside until the stalks are entirely brown. Premature cutting of stalks or roots can lead to rot. After your garlic is dry then you can trim it to just the bulbs and store it somewhere cool and dark (not the fridge!). We’re going to put ours in a double brown bag in our strange subterranean garage–a cellar or basement would also work.
With our mild winters and warm summers, California is the ideal place to grow garlic, but there are special varieties for cold climates that you can mail order. The University of Minnesota Extension has a nice page on growing garlic in cold places.