1) Immediately check for witnesses. Anyone found? Sorry about their luck, but they have to go too. Even if it's a close friend who swears they'll keep their mouth shout, the lying fuckers are guaranteed to break faster than a cheerleader's virginity pledge on prom night when questioned by the authorities. Always remember, No witnesses = no crime.
2) Now make sure sure the person is actually dead. Checking the pulse, holding a mirror up to check for breath, and the tried and true method of nailing a stake through their heart always guarantees they're finished.
3) Body Disposal time. Some will sell you on various methods, from dissolving in acid, feeding to feral pigs, breaking into a crematorium, or packing the body in a suitcase and flying to JFK airport because few bags haven't been lost there. All of these are too high risk, as nothing beats dismembering the body and burying the parts in various reserved government land locations. Marshlands are especially good locales, as God damn PETA will be burning their tye-dye shirts in protest the moment someone tries to turn it into a mini-mall.
A few disposable plastic drop cloths, a shovel, and a hack saw are all you need, but make sure you purchase them at 3 different locations as buying them all together tends to raise suspicion. Wear non-descript clothes and sun glasses when you buy them, and dispose of those when you bury the head.
4) Clean Up time. If the death occurred in your own home, make sure to remove any carpet and and dump at least 30 miles away in a dumpster behind a shopping mall. Plenty of bleach and elbow grease will handle the rest, and make sure you get all 4 walls in splattering situations. Don't forget your car trunk during cleanup as well.
5) Wait. Hear nothing for 7 days, and it's off to the cold case files where unlike television, it will sit unsolved for the next 50 years. They still haven't found Hoffa, and he was famous, so you've got pretty good odds whoever you iced won't be found either.
Anyway, that's how I deal with death.