In most cases, you can keep your drum shells and hardware clean with a little soap and water. Slightly dampen a cloth and wipe it gently over the shell to get dust and minor dirt off. Follow it up with a dry cloth and you’re all set.
I don’t recommend using any abrasive cleansers or scouring pads because they can scratch your drum. Also, avoid any cleaner with alcohol in it because it can ruin the finish.