Generally speaking with very rare exceptions you will pay less tax by moving your tax home to the US. It's more the bureaucracy of doing it that causes the problem. Texas in particular has no State income tax so you'll probably pay way less tax by moving your tax home to the US.
If you're going for less than one full calendar year, my personal view is that it's not worth the effort, because it's very difficult to cut residential ties to Canada for only a portion of the year and the CRA is unlikely to let you get away with that.
Also on TN-1 (unlike for example H-1B and L-1 which are dual-status) there is a requirement that your stay in the US be "temporary" which implies that you would keep your tax home abroad. However having spoken to the IRS about it, it's an incredibly confusing legal issue involving the supremacy of international treaties so I wouldn't worry about it too much, unless you get some really clever dick CBP officer who asks you that question. But from posts I've read on here it's usually a secondary question, e.g. you have US plates on your car, they ask you where you live and you say the US and then they might get around to asking you where you file
taxes because they're trying to establish what your immigrant intent is. It's not that likely to come up.
Read IRS publication 519 and also this:
http://www.cra-arc.gc.ca/E/pub/tg/p151/README.html
Steve.