Compsting isn't stinky, hard, or time consuming; you shouldn't have to buy or make special bins or powders or barrels. It should be (and IS) the most natural thing on earth, so don't make it more complicated than it has to be! Read on...
Step 1: Find a location
Step 2: Dig a hole
It is very efficient to pre-dig and do a long trench.
Step 3: Set displaced dirt aside
Step 4: Save scraps or yard waste
From what I understand, it is dangerous to use feces of animals that are capable of eating meat (so not even feces of vegetarian dogs).
I know people who put used facial tissue or paper towels in there. I'd also stay away from newspaper and other printed papers; again, think about what goes into the material and make your own choices.