I just got some new ones because my old ones that were perfect for cycling (although not sporty-looking) cracked and a lens fell out beside the road and I was not able to find it to fix them. The new ones I got are sportier and have Transitions lenses but I am very, very unhappy with them. #1: They do not darken up significantly unless the sun is shining directly on them. Just being outdoors in bright, glaring light is not enough. #2: The bows (temples) and the ends of the front part of the frame are kind of wide like in your picture, and it limits my peripheral vision. I don't need correction way over there, but I ought to be able to see motion, but it's blocked. #3: When I tried them on in the glasses store, they sat on my face a bit crooked and weren't very comfortable, but I figured the people there would shape the bows like they did in all the previous glasses I had, after the lenses were made. When I picked these up, the woman was not acting like she was going to do that, so I asked about it. She said, "No, you just put this strap around the back and you're all set." They hurt my ears though, so I can't wear them for long periods.
I've had very large, actual-glass glasses back when bigger ones were in style, and the weight never was an issue. It was never uncomfortable, and they stayed up just fine. I have some lighter plastic ones that won't stay up for anything, and they're less comfortable.
Some of the glasses I looked at when shopping had soft rubber around the nose. My concern with that is that skin oils are not friendly to rubber, so it might not last.
Make sure you get glasses that come up high enough and essentially go against your eyebrows so you're not looking over the top all the time in your low riding position. Metal glasses don't qualify, because the nose pads are always held out by metal arms, so the glasses are held away from your face, always producing a big gap at the top.
Polarized is nice, but it will never lighten up much like you would want if you don't reach your destination by sunset.