I just used the dremel kit that comes with a mower blade attachment...worked like a dream for only $12

Dremel may be great for a rotary mower blade, but if you put it to the Scotts or any other reel mower, you'll end up with junk.

Just to set the record straight, the kits you are talking about are for backlapping. A true sharpening requires both a bedknife grinder and a reel grinder. Foley, Neary, and Ideal make the equipment, but a full set up runs $10K to $20K. Obviously not for amateurs.

The link below is for a backlapping kit. After three to five backlappings, you're going to need to consider having the mower professionally sharpened.

Here is a link that might be useful: Pro Mow Backlapping kit