Start by removing surface dust with a dry cloth, use a toothbrush along rim edges and lugs. Apply a small amount of metal polish such as Autosol to a microfibre cloth and work it gently into the chrome.
Use WD-40 on stubborn grime and screw threads such as cymbal stands. Do not spray on directly. Spray on to a cloth.
For light rust or dull areas, polish in small sections and buff clean. Where rust spots are visible, use ultra-fine 0000 steel wool with very light pressure, working only enough to lift the rust. The motion should feel like polishing, not scrubbing.
Wipe clean and inspect the surface. Repeat only where necessary. If pitting is present, focus on removing loose rust rather than attempting to restore the chrome fully. See note below.
Finish with a clean cloth to bring back a consistent shine. The goal is a clean, stable surface rather than a perfect mirror finish.