I ride with my regular glasses (or sunglasses; there can be a lot of glare in winter). There is prescription cycling eyewear including winter-specific eyewear (the Adidas Elevation ClimaCool, for instance) but it's expensive and I have no idea if it would really work for me, or for you. I find that wearing a face mask or balaclava really affects how the wind hits my eyes and the fix for tearing up too much was to try different face protection until I found something that didn't deflect the air in that direction. That took a bunch of trial and error, but face protection is pretty cheap.

While I do use a neoprene mask when it's really cold, in temps above 15F or so I stick with my cashmere hat. It does wonders for keeping my ears warm without any of the runny-nose or peripheral vision issues.

My big piece of advice is always bring extra cold gear with you.