Use 0000 bronze wool, steel wool will leave micro fibers that can cause rust spots to appear no matter how well you think you've cleaned the surface...bronze won't rust and it won't scratch chrome or S/S.
I did the same thing and judicious use of acetone and broze wool cleaned my pipes up just fine.
Bronze wool is a bit pricey compared to steel wool but worth the $
Works good also on alum and other metal surfaces.
Old boat restorers idea
