In the longterm, you will likely have to turn to burning wood to keep warm and cook. If so, you'll need to split that wood. And a hatchet only goes so far. A splitting axe is the key, and the Mintcraft is one we've used for years, splitting cord upon cord of wood. It's got a fiberglass handle, which is key (the wood ones tend to bust), and the 4.5 pounds weight is just right.
Mintcraft PRO 34004 Wood 4.5-pound Splitting Maul
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Bottom line: The best way to split logs. If you're using a fireplace to heat and/or a campfire to cook, you'll be needing LOTS of wood.
Recommended for: Your longterm shelter.
An axe usually has a finer, sharp blade. In reality, they mostly get stuck in wood. You're far better off with a splitting maul, which uses a blunt head and the force of your swing to crack the wood apart. You'll get the swing of it (sorry), we promise. Bonuses for being a great workout and highly satisfying.