Even if you don’t believe in de-clawing your pets, you can still keep cats from scratching up your furniture. Cats like to stretch and scratch up -- like on the arms of your couches and armchairs. By encouraging them to scratch down, you can break their habit while still allowing them to relieve the urge to scratch. Corrugated cardboard has a great scratchy quality cats love. Sprinkle a little catnip on the cardboard for extra scratching incentive.