As a lifetime resident of the northeast, I would advise thermal underwear instead of a sweater. I find a long coat to be to physically restrictive, and a short coat wont protect your legs.

Get a hankerchief or soft napkins in your outside pockets. Your nose runs more in the cold and you don't want that crap freezing on your face. You'll be blowing your nose a lot.

Those aviator headgear with the rabbit fur linings are great, even if you look goofy when you bring the flaps down.

Get good warm socks and foot wear. Your feet will get numb before your body does.

Buy those chemical warmers in plastic paks. they work.