Use a bout a 1/2" wide honning stone and oil. Like the ones in a knife sharpening kit. Important! Be sure to keep the same original angle on the edge. Take your time! Use a vise or something to to suport the cutting head in a comfortable possition. Hold the stone flat on the edge and go in circles until the burr is gone and the edge becomes almost invisible. You can check it out better with a magnifying glass.
Probably take about 15 min. on each side. Make sure you do not sharpen the bottom or use any kind of grinder or power tool. This is for sharpening a Nils Master type head. The Strike Master style uses replacable shaving blades. This works for me and is the way Nils Master advised me to do mine. Hope it helps!