The Northeast got its first dose of winter-like chill this week and if you (like us) were compelled to wearing your down comforter out of the house, then we've got a cozy, chic, and on-trend solution for you. Enter, the faux-fur coat. The cartoonish faux fur coats of yore, have been replaced by luxe options in natural tones that go from work-to-evening-to-weekend in a snap (not to mention that it is with images of our favorite leading ladies in mind that we shop this fashionably warm winter…