When I was a kid, I spent my summers at the Jersey Shore. There were season people, weekend people, and then there were the "shoobies". . . day trippers who pack their lunches in shoeboxes and wear shoes or socks with sandals on the beach. In the shore caste system, you did not want to be in the last category. . . decidedly uncool.
I bring this up because I am about to tell you how to dress for the elements, particularly wintry mix, in Cape. I tell you these things from experience or what makes sense to me though I did wear my L.A. winter coat in October my first Fall here. My point being that my advice will help you stay warm but you may not be cool.
First, in the case of wintry mix, I imagine you will want to stay upright so it would be a good time to invest in a pair of STABILicers. They are cleats that go on over your shoes. I, rather naively, was thinking snow drifts and blizzards when I first moved here and figured my Uggs or a decent pair of snow boots from Lands End would do the trick. Not quite. . . though they keep you warm and dry respectfully, they do nothing on ice but send you sliding. STABILicers require some hand strength to get over your shoes but will make you a bit more confident as you walk. Helpful hint: take them off before you walk across your hardwood floors or your loved one's back. I bought mine online at ActiveForever.com (don't be deterred by the fact they sell medical equipment) though there must be someone local who sells them.
Second on the list, a pair of cuddl duds. (www.cuddlduds.com) The deal with cuddl duds is that they provide an extra layer of protection under your clothes to keep you warm but the packaging swears that when you get inside, they adjust to inside temps. They are a thin type of long underwear. You may not need them. . . I did not my first winter here but I have a trusty pair on standby, just in case. Kohl's or Penney's should be able to hook you up.
My personal favorite and good for all seasons, are scarves. I did not wear scarves in Los Angeles but I wear them most seasons here. I developed pollution induced asthma in L.A. and when I moved here, my trigger became cold air. Covering your neck and mouth really makes a difference. In the heat of the summer, you will find you need scarves again because the air conditioning is blasting so fierce. My scarf collection octupled once I crossed the state line into Missouri.