The snare drum is the most heard sound from your drum set, so you want it to sound Great! There is a huge amount of personal preference here, but some things just sound bad.
First that annoying Buzz from the snares (the snares are the wires on the bottom). First if they are bent or one wire is not the same as the others, replace it. The buzz comes from the bottom head vibrating from another sound, either another drum or very common the bass guitar. Make sure the snares are tight and not too loose, try turning the adjusting knob first.
from there re tune the bottom head, loosen it and see if the buzz goes away. If these methods fail, the try loosening one of the top lug screws. Beyond this you may just have to change heads to get the sound you want but without the buzz.