dchen, as a Canadian studying in the US I hope to be able to provide some perspective as well. As asimov mentioned, admissions are generally need-blind and schools tend to treat intls and Americans the same way for most merit scholarships. Governemnt funds however, are a different story.
You won't have to worry about financial aid right away, so focus on your apps right now. As long as you have a general idea of how the process works, you'll be fine.
Additionally, if you're looking for government aid from Canada, that would strictly depend on the province you reside in. For instance, Ontario will only give you UP TO $210 per week (for full cost of attendance) if you study outside of Canada, which barely covers living expenses, but they don't care. There's nothing you can do to get more money from them, transferring cash to your parents becomes irrelevant.
Your best bet is to go through a private lender (Scotia is the most lenient, BMO will work with you depending on your budget. They will fund up to cost of attendance as estimated by your school, I doubt your assets matter much at that point either. Since you'll be studying outside of Canada, you'll need a Canadian co-signer for all Canadian banks, I've checked this explicitly. Your co-signer's monthly income - expenses will determine to a large extent how much you're going to get. BMO's interest rate is fairly competitive too, something like 50bps spread over prime lending).
In the US, you could look into getting money from
Sallie Mae (extremely slow and bureaucratic and no interest free period but decent terms depending on co-signer), Chase or Citi. These are the ones most schools work with when it comes to intl students. In all cases though you will need a credit worthy co-signer who is a US citizen (that's assuming you don't have a US SSN).
Hope this helps a bit.