I built my own UV light source using some high UV-output fluorescent bulbs from a lighting store. It worked quite well, other than taking a while to expose (I'm guessing these UV light sources have higher UV output).
In the end, I decided the sun worked much better. But I did live in CA at the time. While UV light goes through clouds, the cold temperature in Montreal would probably affect the exposure quite a bit (maybe halt the chemical reaction?)
Depending on how long of an exposure is required, you may be able to work around the uneven illumination by just moving the print around a bit. This assumes you're using a contact printer to hold the negative and paper against each other like I was using, as you can move it and it won't blur the image. I've never used one of the units you linked to, so I'm not sure how the exposure is handled.