but I might need to cut some wood for fire.
Multitool and hatchet. Actually, that's what I usually carry no matter the locale. I also have a "sharp" knife (usually a spiderco folder but occasionally a small fixed blade) most of the times. However, I rarely use the sharp knife. Not much fishing here in Southern Arizona. There are also times when I would carry a machete, but again, not much need for it here.
I know this won't go over well on a knife forum, but I haven't carried a Rambo knife for a few decades and have never missed it. If you look on the belts of most hunters, hikers, and campers, you won't see a big fixed blade either. They must not miss them either.