You can even get one of the really cheap end handle saws. That style is pretty good for this kind of job. They are really cheap, but toss the blade that comes with it and get a nice one with 28-32 teeth. Shouldn't be more than ten bucks.
Or really economise and just get the blade and wrap the blade to protect your hand. I have a feeling the shop will charge you a fair amount, it can take a while to get one out.
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I am in the woods and I have gone crazy.