Well, first you'd want to do the deed in a controlled area. Y'know, someplace with tarps and tile that you could wipe down with home cleaning solutions in a pinch. If you're already in a secluded, tiled area then you're all set to go for the next part, if not then you'll have to move the body there (wrapped in a tarp if the previous step was messier than you anticipated). You'll want this area to be good for controlling odors too so as not to give away your position, so an ionizer or a bunch of scented candles wouldn't hurt.
Next you'll separate the teeth and distal phalanges of the fingers (the digits with your fingerprints) from the rest of the body and put them in a trash bag for later. Remove the clothes off the body with a scissors, and then the shoes and jewelry (they can be disposed of in a fire pit or incinerator later). Now you'll want to wrap a chain around the feet and suspend the body upside down over a large bucket (or other large container), and make a long incision around the neck to let gravity drain the blood out (this is of course assuming you don't have access to pumps like morticians have). This will make it easier to cut up and slow decomposition, helping you out in the long run. I've heard good things about immersing the cut in warm water to make it drain faster, but that will probably just give you more things to dispose of in the long run. While you're doing that you can wipe down all the blood and other bodily fluids off the ground, walls, and furnishings with the aforementioned cleaning solutions (use oxygen-releasing ones to pick up hemoglobin), and finally spray a light misting of lemon or lime juice to denature any DNA you might've missed. Give or take an hour or so most of the blood should've been drained (except for a pool inside the head, but we'd need a drill for that and it would get messy real fast), or you could pump the chest (the heart may be dead but its valves will still work) to speed up the process. With the blood drained it should be easier to open the chest cavity and remove the innards into another trash bag. From here you'll want to disfigure the face and skull to make it harder to identify, then you can cut up the body into 6 parts for easier disposal. Pulverizing the joints will make it easier to cut up, though pulverizing the skeleton in general (given the time) would make identification harder. Until you decide on your methods of disposal, the parts can be stored in separate trash bags filled with bleach in a freezer to slow decomposition. Be sure to clean up your work site when done (and always, ALWAYS be wary of odor control).
The teeth collected earlier can be pulverized into powder for easy disposal at your convenience, and the finger digits should have their prints burned off with fire or acid (then you can dispose of them with the rest of the body, or separately). The blood can be set into an autoclave or mixed with bleach (1:10 dilution minimum is advised by the Biological and Medical Waste Disposal Guidelines [http://www.stanford.edu/dept/EHS/prod/researchlab/bio/Bio_and_Med_Waste_V08_Disposal_Guidelines.pdf], don't do the autoclave if you've already bleached) and poured down a drain (not YOUR drain of course) with the help of running water into the sewers. As other posters have politely suggested, you can use pig farms or acid to dispose of the body from here on out. Remember: Cutting the body into smaller parts will speed up the process immensely by enabling the pigs to eat it faster or exposing more surface area to the acid. Also note that these methods (particularly the acid) take time, so do them in secluded areas. In the case of acid, even when you're done dissolving the body you've still got some highly corrosive human soup to contend with, so plan accordingly for further disposal. To minimize chance of discovery, you can spread the parts around separate pig farms or vats of acid a good distance away from each other. You could also bury it, but be sure to dig deep enough so that wandering dogs being walked by their owners will not be able to casually uncover them. (and if they do, decomposition will make it seem more like an animal carcass than a human body). Never, NEVER bury them at the same site and on the same day. Always be sure to do it at places out of the way and hidden from eyesight as well as from your home and place of work. They should take no more than 2 hours at most to dig up and bury, recommended time slot is 2-4 AM.