Wow, I had no idea that was just a Canadian thing. What do Americans do?
The work like checking accounts in reverse, you write a check off of the account to pay for things (or do a bank transfer), and you send them money to pay it down.
You can also get unsecured lines of credit but those are harder to find.
If you have a good enough credit score, one stategy is to continually try to transfer your balance to new cards with low (0% if you're lucky) introductory rates, while paying the minimum monthly requirement.