How to dress my newborn in the winter?

I live in Upstate NY, so it gets cold here during the winter..

I have a car seat cover that's fleece lined to help him stay warm. And obviously he'll have blankets as well. But my question is, how should I dress him when we go out? Is like a snowsuit type thing necessary, or should I just have him in a fleece onesie with a coat? I don't want him to freeze, but I don't want him to overheat either. This is my first kid, so I have no idea lol

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