My advice to the world is: do use a non-power push reel mower. It is so much easier and agile and faster and will not plague your neighbors with noise, just as a rake is faster than a stupid blower and edging by hand does a much better job than one of those stupid gas edgers or a weed-whacker. But don't buy a sharpening kit unless you're willing to spend a day taking everything apart. Bad as old A-1 Chainsaws or whatever it was called was, if you were willing to wait you could have your mower sharpened and done well. The kit purchased came from Vermont Country Store but is the same one sold by the sole remaining American manufacturer (so far as I know). I didn't seem to be getting a very good edge, but in fact the blades do seem to be much sharper.
Rantor, founding member of the International League of Luddites, headquartered in South Austin, Texas 78704, celebrates National Indignation Week every day of the year.