Chipping in!
I'd say something like this used by Barty Crouch Jr would be the practice - of course, one could transfigure the body back, but if nobody knows it's a body in the first place it sounds quite effective!
I completely forgot about that, honestly. That'd be a good method for hiding a body.
If you have a specific scenario in mind, feel free to shoot and get more specific feedback 
This could be complicated, just a forewarning.
So BJ here worked as a Curse Breaker for about a year and a half between 19 and 21 years old. He did this under an alias, Colson Baker, which he manufactured through his maternal line. Basically he was a thief; he'd steal small amounts of gold and minor artefacts before they were transported to Gringott's. Obviously with Gringott's being a rather large establishment it wasn't long before he was caught onto. The only actual proof came in the form of a co-worker who followed him into a crypt and caught him moving an artefact out while they were off duty. BJ killed him and used the body to fake his death. I'm trying to poke around and figure out how he could do that. It might even be too far of a stretch, I'm not entirely sure.
One thing I thought of was that he pretty much incinerated the body using the guy's wand and left his clothes/wand behind. The only thing with that is it creates a mystery as to what happened that the body turned to ash but the clothes didn't and what happened to the other guy's body after he 'murdered' 'BJ'. At least as far as any investigation goes, I don't see how far they'd get.
Sorry I'm being really complicated! D: I tend to think plan crazy stuff for histories sometimes, so if this needs to be shot down it's not necessary information, just something I thought up that seemed like something he'd do to protect himself.
This is slightly off-topic, but depending on what you need the information on destroying evidence on dead bodies for, my character Cezary wanted to point out that he offers body disposal services for a nominal fee on the down low through Capp and Sons Funeral Home. >>
I can't see either of those links :p But that's excellent information anyways! This question specifically is mostly related to something where he actually needed the body, but if you don't mind can I use Cezary for this relating to any other bodies he may've had on his hands? He's really not a fan of dealing with these things himself if he can help it.