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If your copper pans are lined with stainless steel, use the directions for cleaning stainless for the interior of the pans. Clean the outside of the pan with a good grease-cutting cleanser, such as a citrus-based product. After removing the tacky grease from the pans, use a paste made of dish soap mixed with scouring powder (such as Comet, Zud, or Ajax) to clean off hard deposits. Finally, use a copper cleaner, such as the paste type.
Citrus removes tacky grease from surfaces. Mix the paste, smear on the pan, let it dry, and rub it with a cloth until the stains are gone. The paste type usually leaves a protective film on the surface after cleaning, but there are many excellent liquids that will clean with no rubbing on your part.