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We put a blanket over the car seat. I think in that instance though I would purchase the shower-cap style BundleMe's and pop them on when we were outside.

@bluestriped bee: I put a fleece bundle me over the car seat. The one that is like a shower cap. And also a fleece blanket over her from the armpits down, on top of the harness.

If we were only walking, no car, I used the bundle me that goes around behind her (the unsafe for car style, it was a hand me down), and put her in a fleece bunting that had feet and gold over mitts for her hands and a hood. On really cold days or if it was windy I also put the car seat canopy over the seat- they always have them for "free" and you pay shipping.

We live in Boston and walk or take public transportation most of the time so I definitely did bring her out when it was very cold and she always seemed fine. The car seat canopy is nice because it still has a gap on the sides to let some fresh air in but the Velcro straps held it in place in the wind. But definitely not worth more than like $12.

I'd do a hat plus a thick blanket tucked in around baby and a light, breathable blanket over the top to shield from wind.

We had a November baby, so it was pretty cold when he was really little. We would tuck a thick fleece blank around him, below his face and over his arms, and then used a JJ Cole shower cap style cover - http://jjcolecollections.com/car-seat-cover

I like it because you can see choose to cover baby's head (which I only liked to do for short periods of time) or you can expose it, which DS was normally fine with. We always put a hat on him too.

If you're going for a walk and not in the car, they can be bundled up in the car seat I would think. Then blanket on top.