And I'm pretty toasty, actually, and my hands are downright hot. That is because, some spring day more than five years ago, I laid down the money and time to shop the Lands End overstock catalog for an arctic parka (with zip-out inside jacket/liner) and flannel-lined jeans. Since then, I have also acquired Thinsulate 40-gram waterproof gloves from Tractor Supply. (My regular hiking socks and hand-spun ski cap do fine for the ends.)
I can't emphasize enough how important the right gear is for surviving the cold without being totally miserable. Sure, I'll be complaining when it's 30 degrees and blowing sleet because that is miserable. But a calm, still, dawning 12 is actually not that bad when I'm dressed for it.
And yes, the goats are fine. They have heated water buckets and big nests of hay to eat and sleep in, and each other to share the warmth and block the wind. The llama doesn't seem to notice the cold much at all.