I need help from experienced cold weather mom. I'm in southern California so I'm totally clueless.

We're going on a ski trip in January and this will be DD's first time in the snow. She'll be two. I got her some snow boots and I've been searching for toddler size wool socks but I'm not finding much. The ones I'm finding don't have silicone grips on the bottom and the cabin we're staying in is all hardwood flooring. Am I looking in the wrong place? What does everyone suggest for warm socks that won't have her slipping and falling on the hardwood?