Hi David,

i would recommend our Diamond sharpening file E2556 to sharpen scissors.

open up the handles so the edges of the blades are exposed and run the file a few times up and down the edge at the same angle as the original, normally about 30 degrees. Wear gloves as a precaution in case to prevent cutting yourself on the freshly sharpened edge.  You should see a bright new metal surface from the diamond file