That's a common and frustrating problem! Standard plastic bins can indeed become brittle and crack in freezing temperatures. It happens because some plastics lose their flexibility when cold, making them prone to damage. The good news is, yes, there are definitely models built specifically for cold climates.
When shopping for a cold-weather bin, look for these features. First, consider the material. Bins made from high-density polyethylene (HDPE) or polypropylene often perform better in the cold than other plastics. Some are even marketed as "all-weather" or "arctic-grade." Another excellent option is metal bins, like galvanized steel, which are unaffected by temperature swings. Also, check for a design that allows for expansion and contraction; thicker, reinforced walls and rounded corners (instead of sharp angles) handle stress better.
A simple tip for your current bin: try to avoid moving or handling it when it's frozen, as this is when it's most vulnerable. For your next purchase, investing in a bin designed for temperature extremes will save you money and hassle in the long run, keeping your property tidy all winter long.