For most cutting chores, one of these Mmilwaukee folding jab saws works great using any recip saw blade. Take a couple blades of different types. The only thing that I can think of that needs a hatchet is splitting kindling. For that, get a very light weight one with a wide wedge shape. Light weight is easy to carry but is hard to swing so don't swing. Use the saw to cut a 2' log and use it to pound the hatchet through the wood.

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