I've given this a lot of consideration. I'd want my new team to be centered around a traditional blue-collar organization with no dome. I measure blue-collar organizations by the number (or lack there of) of pink jerseys and hats in the stadium. That immediately knocks out any team in a warm climate, New England, Jets and Giants. Then I cross out any that our not within a comfortable day's drive from Upstate New York.
That leaves me with:
Pittsburg, Cleveland, Chicago, Philadelphia.
Cleveland gets nixed too... because they're one bad draft away from being Detroit, and there's no way I'm trading down.
Chicago is only an option because of family ties to the city. If that relative moved, they'd come off my list.
In the end I'm left with Philadelphia and Pittsburg. Philadelphia is the only NFC East team that didn't beat the Bills in a Super Bowl, so that would give me good reason to cheer for them against their divisional rivals. Pittsburg is basically the Bills, except they consistantly win. I'm not sure I can handle that again. I'd probably need to start jogging so that my heart wouldn't give out.
I'll take Philadelphia.