Everyone does something different it seems.
Since the K98k collectors are mostly minimal interventionist, I try to clean them like the majority seem they would want to receive it with little variation. Some want it dust, durt, rust and all though, so consider that option. I wipe it clean with a white heavy duty paper towel. That is it for the stock. If the metal shows any sign of rust, corrosion or damaging neglect, and the rifle has been apart since it left the factory, I take it apart and clean the metal with a heavy duty paper towel and Kroil Oil. If any rust remains and it is mild I soak that area with Kroil oil and later try to get the rust again with a paper towel wet with Kroil. If the rust persists I will use Kroil Oil and a mild abrasive like the edge of an old penny or nickel, carefully. Then wipe again with a clean paper towel and Kroil Oil. Then wipe off(put on gloves) the excess Kroil and coat all metal, including the bore which has been cleaned by normal bore cleaning methods, with Rust Inhibiting Grease, which should protect for years and do no harm. Then carefully reassemble and wipe any RIG that accidently got on any wood parts with a clean paper towel. Recoat with RIG if any is rubbed off the metal. Rest the butt plate, or any metal parts contacting safe padding, on wax coated gun wrap paper, not on safe carpet or safe foam padding. Others will differ. Many museums and or collectors use Renniasance wax ? sp?, or Penn Reel Grease as the protective coating vs RIG.
The US collectors do things very differently so consider their habits for M1 rifles and Carbines.
Nylon and bronze gun cleaning bristle brushes, bronze wool, brass shank bronze bore brushes. Cotton cloth rags. That's it.