Let's start with the basics. Anytime I head out on the woods I carry a good quality pocket knife. I prefer Swiss Army Knives, They're sturdy, multifunctional, and lightweight. It is a proven design that has been around for a long time and are an excellent value. You can buy them at almost any discount store and if you buy an original Wenger or Victorinox, you are assured of a certain level of quality. They excel in general campsite usage such as cutting rope, pulling splinters with the included tweezers or spreading peanut butter on some bannock. The can opener on genuine Swiss Army Knives is first rate.
I no longer carry a folding multi-tool with me unless I'm bicycle camping. I found that the only features I really used consistently on it were the same ones on a SAK. Since I have simplified what I carry, I no longer needed the extra tools included. If you do carry something like a stove that occasionally needs to be disassembled, a multi tool can be a big plus.
I also carry a small home made folding saw that I made a couple of years ago. It's a jigsaw blade mounted in a crude folding handle. It's great for small jobs like cutting notches in fireboards and roughing out spoons, etc. They are simple to make and cost almost nothing.
No matter what you decide to carry, you need to keep he blades sharp. To maintain my edges I carry the 2 stage sharpener pictured at the right. A couple of strokes through it and my blades are sharp again. I make sure any knife I carry is sharp before I leave so all I have to do is maintain the edge instead of resharpening out in the woods. If you carry a hatchet or small axe with extremely hard steel, a small fine file is not a bad idea.
So there it is, what I carry for cutting tools. This post was meant to give you an idea of why I carry what I do and to help you make some decisions about your own kit. Carry what you're comfortable with and practice, practice, practice. Carving and whittiling are excellent ways to get a feel for how comfortable a knife is to use and how it holds an edge. Practice at home so your knife handling becomes second nature in the woods. Feel free to let me know what you carry and why in the comments sections, I'm always looking for new ideas and suggestions. Until next time, be safe and I hope that someday our paths may cross in the woods.