Place the base of the blade in the slit of a magnetic holder, so the sharp edge of the blade extends past the magnet edge. This will make it easier to sharpen the blade without cutting yourself or dropping the blade. A strong, flat magnet may work instead. Sharpen slowly if using this device, to prevent the blade from falling off the magnet and potentially nicking you. Sharpen both blades using the steps below, one at a time.

Summary:
Use a magnet holder to pick up a blade (optional).