Something to consider, I've heard various disparaging things about Hydrogen Peroxide as far as its efficacy in cleaning wounds. I think there are much better cleansers availible. Providone iodine comes immediately to minds. I've heard of other iodine solutions as well, one in particular which I can't remember the name of is supposed to be much gentler and stain far less. Someone here mentioned another cleanser that wasn't iodine based but is common in hospitals (again the name slips my mind).

Providone iodine is what we used at the vet clinic I worked at for scrubbing animals before surgery and wounds of all sorts including animal bites to people. A small dropper might be almost indispensible for dirty wounds sustained in the woods.