Actually Bill makes a good point, one I neglected to mention. Bench grinders, EVEN IF you know how to put an edge on with one, can cause a lot of friction and heat. Again, I have probably 30 years under my belt when it comes to benching edges, and even I sometimes overheat the blade (usually mower blades, since I am impatient, heh). This method is best suited for cheap machetes, and certainly not for anything you have invested any serious money in. A file may take you longer, but I think it will yield the best home-job you can possibly hope for.
I have sharpened all sorts of tools for everyone in the valley and surrounding towns for decades, and have earned a name for doing so. I still have yet to see another come close to being able to equal my bench-grinding techinque, so suffice it to say, it may be best to not try your own hand at benching a piece you really like. Maybe practice on old mower blades, flat pieces of steel etc first. Once you get the knack though, people will want your phone number, heheh.