I agree with Alan's statement, most Canadian land area won't get weather radio reception. Environment Canada states that the WX radio signals might be good for 60 km from the transmitter which doesn't cover very much area and even in range, since the transmission is in straight line-of-sight FM, it can be blocked out on lakes and rivers by higher surrounding hills.
It might be better to hunt around at night for AM stations from nearby cities... AM signals will be more easily heard at night with transmissions being reflected from the upper atmosphere and the range of an AM station can be many times greater. I used to have a favorite in Lexington Kentucky 1170 AM which transmitted religious fire and brimstone sermons every night, real old-time pounding on the pulpit, repent for your sins for the end is coming stuff, which was something to hear on a dark and stormy night... but that was eventually replaced by programmed soft rock, or more mainstream toned-down Christian music.
The newer portable AM/FM/WX radios (eg, Crane, Sangean) can save individual stations and once you've found some good ones at night, it's just a matter of saving them and pressing a button every night to listen if nearby AM stations can be heard (reception can vary from night to night). In Canada CBC stations usually give short weather forecasts on the hour and there may be more detailed forecasts at certain times at some stations.