On recreation backpack trips, I carry a Victorinox Swiss Army knife; Climber or Tinker. I carry it in my pack until I get to camp. Just never got accustomed to carrying a knife in my pocket.
When hunting I carry more knives than I need. One that I always carry is a fixed blade Buck 619A knife. It has a black rubber handle and I don't know if that is still available. It must be over fourty years old. I carry a Buck 673 skinner and a Havalon Piranta with extra blades, for delicate work. I also carry a Gerber Gator saw for cutting through the rib cage and/or the pelvis.
I own several Buck #110 folding knives. Everyone has one or more of them, right? But I don't use it for cleaning an animal because folding knives are prone to gathering gunk in the folding joint and it's hard to cleanout.
I also own several Leatherman multitools. But they are too heavy to carry in a backpack.