That's an excellent and very practical question! From my experience and research, the performance really depends on the bin's material and construction. Generally, high-density polyethylene (HDPE) plastic bins are quite resilient in cold weather. They're designed to resist cracking and brittleness. However, in *extreme* sub-zero temperatures (think -20°F/-29°C and below), even the best plastics can become more fragile, especially if impacted. Metal bins, like galvanized steel, are strong but can become painfully cold to touch and may have lids that freeze shut more easily.
The snow itself is less of an issue than the ice and freeze-thaw cycles. The main problems people face are lids freezing shut, wet contents freezing solid to the interior, and potential cracks from stress if the bin is overfilled and then subjected to pressure. Bins with simple, loose-fitting lids are more prone to freezing shut than those with secure, gasketed closures.
For best results in snowy, cold climates, look for bins labeled as "all-weather" or "heavy-duty" with UV and cold crack resistance. Applying a silicone spray around the lid seal can prevent ice adhesion. Also, using liners and avoiding overfilling helps. So, while most quality bins *hold up*, proactive winter care is key to preventing headaches.