Just one body? Who cares, dump it in a ditch or something.
That bullshit magic CSI crap on TV is way overblown, just don't do anything to make yourself a suspect and you're fine. If you plan on becoming a serial killer it becomes a little more important, because they can start looking for patterns, but even then simply burning the body will destroy any evidence that could link it back to you.
In reality, they figure out who the murderer is first, then use the body to find material evidence for the trial. The most important thing is to not look like a murderer. Hell, even if they do find some kind of evidence they still have to figure out it's you to compare it unless you did something stupid like leave your drivers license at the scene.