Hey AviaToR50,
our school in Oregon has a so called F1 Visa which allows you to train and then work for 23,5 month in the US. This is one of the easiest way to get some experience and you can move to Canada afterwards and convert your FAA license to the TC license by just doing a few written tests. Some of my friends have done that and they have the advantage of coming into Canada with over 1500h, which makes the job-hunt much easier and makes them more interesting for companies to sponsor their permanent residency.