I have two pairs of ski goggles. One has colored lenses for daytime and the other is clear for night. I figure that most people think I look ridiculous running in the winter anyway so why not use something that works.
These are the ones that I have:
A bit late to the party, but thought I'd offer some advice. Cycling gear can be extremely expensive, winter gear even more so. I started winter cycling in college. When I started, I just wore a lot of layers and my winter coat, gloves, etc., and then slowly worked my way to cycle-specific clothing as I could afford it.
A particularly cold day would be something like:
Long johns, jeans, second-hand snowboarding pants for waterproofing, if needed.
Long johns, long sleeve shirt, sweatshirt, winter coat, scarf.
Gloves with warmers, if needed.
Winter boots, regular socks, wool socks, throw in warmers if needed.
I would definitely suggest getting a pair of ski goggles. I use these guys. Cheap and effective.
I got studded tires for the first time last year, and I really like them, but they're not a necessity, I think.
I bought this Bolle's cheap goggle. $16 shipped with prime.
Last week, high was high 25 and low 5. On the way home, it was prob. mid teens. It worked pretty well, but it was my first time to use it. So, the sample size is small.
These are what I use: Bolle Mojo Snow Goggles (Shiny Black, Clear) https://www.amazon.com/dp/B0038ZYRGC/ref=cm_sw_r_cp_apa_i_s8XuCbWY8HYQA
Not terrible on the peripheral, double lens, and inexpensive!
How "cheap" are you talking?
There are $15 snow goggles on Amazon, but without knowing your budget, it's hard to give advice.
Let me know your budget and I can help you find something.
I got these and they worked great for me: https://www.amazon.com/gp/product/B0038ZYRGC
I have a narrower face and got these and they fit and worked great: http://www.amazon.com/Bolle-Goggles-Shiny-Black-Clear/dp/B0038ZYRGC