I've used both polarized and non polarized while riding in sunny So Calif, I prefer polarized, it cuts more of the reflected light off the pavement and my eyes don't feel as tired after a ride. I also like the polarized when I'm on water too.
Also color is important, I prefer brown tint when cycling, details are sharper I think. I know some websites say bronze (or amber) is better for cycling but brown is a bit darker and my eyes are sensitive to sunlight more than perhaps most, so I prefer brown. On foggy or hazy days I swap out my lens for yellow which I also use at night. Some people like gray when cycling, but I didn't like gray even though it more accurately represented color it muted things too much for my taste, however on the water I prefer the gray because it's a bit darker than brown.
Anyway all the above is just my opinion, doesn't really mean much I guess since I'm no expert in this sort of thing
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