- Wally's Drapery Cleaners Menu: Established 1971 The purpose of this page is to help you understand what is necessary for the safe cleaning of your fine draperies. It is a common mistake to believe that any regular dry cleaner can safely clean your draperies. You see their advertisements all over town, advertising a very low price per pleat. But these are clothing cleaners, not drapery cleaners.www.wallyweber.org