You could do a lot worse than the item carried by our ancestors during the 19th century - the Green River Knife, which apparently included a bunch of blade shapes, but was generally sturdy,pointy, with a good cutting edge. Many look for all the world like butcher knives. There is a lot of info if you google....

I'll bet your proposed setup will work quite well. Our distant ancestors did just fine with flint and chert cutting tools.