You probably want to talk to an accountant that specializes in cross-border work. You can live in the US under a TN visa of course which would make the most sense logistically as far as what you're proposing-- this doesn't preclude having a residence in Canada as the TN visa is not intended to be an immigration visa. You will get taxed in both countries though with credits for taxes paid across the border (most likely-- again, talk to a professional).
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