Scrub your leather luggage with a dry cleaning eraser. You can find them in the cleaning aisle of virtually every grocery store and warehouse department store.
Apply lemon juice to a cloth and rub it over the scuff marks. Wipe the lemon juice off of your luggage with a damp cloth. Dry the luggage with a clean dry cloth.
Wipe the scuff marks with a baby wipe. Replace the wipe with a clean new one when necessary. Depending on the number and severity of the scuffs on your luggage you may need one or multiple baby wipes.
Apply leather conditioner to the luggage. Place a dime size portion of conditioner onto a clean cloth and rub it over the scuffs. In addition to minimizing or removing the scuff marks, leather conditioner also brightens your bag and makes it appear newer.