Rsot,
When you open an account online with TD, RBC (As a NEW Custumer), or Scotia, they do need to check your credit history. but once the account is opened, you can open other saving or checking accounts online (Instant acceptance).
I have 5 accounts with RBC, 3 With ING direct and 4 with TD canada trust. When I talked to RBC representant about having multiple accounts, she told me that it's ok, as long as they're active and not getting with negative balance (Unpaid monthly fees, unpaid checks etc).
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