Everyone has their preferences as to what materials to use, the important thing is to use a tool that keeps your angles accurate and to progress from coarse to finer abrasives. If you are unable to keep your tools in proper alignment no matter how good an instrument you are using every slight deviation to the plane in which you are working will only dull and or round your edge.
I use a file and a hammer....yes a automotive sheet metal hammer if and when there is such a ding that the metal has been pushed out of shape. The coarse file will then bring things back closer to the original profile. From there a 200 Moonstone, a 1200 Moonstone, then a surgical natural stone, to give it the final shine (I used to fit a 600 grit in there but I lost it and have not missed it). Always use a lubricant, I used to buy the commercially available fluids when I realized that all it appeared to be was a bit of Windex, with alcohol and wintergreen. So now I mix my own and it works great.
The moonstones are my preference, you can opt to use any of the other types of abrasives, like natural stones or very fine files to accomplish the same thing. The last steps will inevitable be an ultrafine diamond or natural stone for polishing.