The problem was the cost. Buying new blades for the many-bladed Gillettes cost so much that it often came down to a choice, "Do I buy new blades, or do I put up with the pain of dull blades for one more week?" Seriously, $40 for a 12-pack of Fusion blades is just outrageous!
Fortunately, I discovered it was all just a gimmick. The ever-escalating number of blades really don't give you a better shave. They just compensate for lack of technique, lack of proper prep, lack of a decent shaving lather.
All I really needed was an old-school safety razor, a shaving brush and some shaving soap. Shop around and you can find all these things for cheaper than a pack of Fusion blades. Do a search for "How to shave with a safety razor," and you can learn how to do it from the Internet. I'm using a single blade in a non-pivoting head, but the shaves are more gentle and more smooth than I ever got from the fanciest Fusion. Better still, for the cost of a 12-pack I can buy enough double-edged safety razor blades to last for years. Plus, there's a real joy in shaving with hot lather made by soap with natural ingredients, vs. a cold chemical foam from a can. I'm getting better results, having a more enjoyable experience, and spending less money doing it, all while putting less garbage into the waste stream!
And yes, I do get a smug satisfaction knowing how much better I have it compared to all the suckers shaving with the many-bladed cartridge monstrosities.