To clean chrome and remove rust without expensive cleaners use a sponge to scrub the chrome thoroughly with a mild soap and water solution.
How to clean chrome door handles.
Next dip crumpled aluminum foil into water and use the wet foil to scrub the rust.
Cleaning plated chrome and nickel finishes.
Most door handles these days are lacquered or plated over brass or a mixture of materials.
If stubborn dirt remains scrub the spots with a vinegar and water solution then dry the surface with a microfiber cloth.
Natural unlacquered brass real copper pewter and silver can be very expensive so most of us choose a lacquered or plated finish.
If you clean your chrome frequently a little dish soap and some warm water work just as well as commercial chrome cleaners.
When it comes to chrome care the old adage about an ounce of prevention being worth a pound of cure is true.