Hey Cat,
I can every year as part of "get ready for winter" prep for my folks. The method we use is the propane pressure cooker, because we do a bit of meat and fish too, but if all you're doing is vegitables, you can also use the "water bath" method.
The only one I'm familiar enough to speak on is the Pressure Cooker, so we'll look at that...
It's really a pretty simple process with just a few requirements and caveats:
Equipment
- A pressure Cooker with Pressure gauge
- Ball or Mason Canning Jars (Reusable)
- Sterilized Lids (Cannot be Reused)
- Fastening Rings (Can be Reused)
- Tongs for removing the Jars
Ingredients for your recipe:
Generally, the "recipe" for what you're canning will require kosher salt, water and a variety of spices, if that's your thing.
We have Ball's "Blue Book" of canning - which despite it's awkward title is a wonderful resource for recipes. It probably has close to a thousand pages.
Once you've set up the cans with the appropriate amount of water and cure/spice or sugar if you're doing fruit, and sterilized your lids (To do this, we just boil them lightly for about 10 minutes); Fit the lids onto the jars, then place the rings on the jars, taking care not to overtighten. Make sure that there isn't any dirt, mold or air-bubbles in the jar you're going to can.
Before you fire up the Pressure Cooker, take and place the jars inside; and fill about 3-4 inches of water... enough to cover the jars about halfway. You don't want them submerged.
Next, fire up the pressure cooker, and allow the pressure to build. Once it reaches the desired pressure, keep it steady by scaling back the amount of gas being used, and keep a close eye on the guage. When we can, someone sits with the cooker the whole time - for safety and to be sure that the pilot doesn't go out.
Generally, for fruits and vegis, we've done 5-7lbs of pressure for 30 minutes, and for meats, 10lbs for 90 minutes.
Don't's:
Do no - for any reason - take the lid off while there is any pressure in the cooker.
Don't let children, or clumsy people aroudn the cooker. Knocking it over could be a diaster.
Be very cautious when removing the jars - they'll be very hot, and can burst if handled roughly.
Let the jars sit until they cool.
By the way - I just found this link - which is much more in depth and helpful than my post:
http://farmgal.tripod.com/index-2.html
Cheers!
Aaron
PS - a word of wisom, the prep work involved is sometimes more of a headache than the actual canning process. I did a batch of pears last year that were nearly brown by the time I got them into my cans, between washing, peeling, quartering and preparing (see, boiling sugar water) the juice.
Do small batches first to bring your skill set up, is my advice for the first timers.

Calling on all of you canning experts.
I searched this site high and low, but can't seem to find a canning 101 lesson. I went to Canning Pantry http://www.canningpantry.com/index.html ... but really have no idea where to begin.
Does anyone have a book they recommend, too many on Amazon to know what is best? What basic supplies do I buy to get started? What should one never buy or try to can? What can be reused, what can't?
Thank you for your advice in advance,
Cat