Have a couple Falkniven knives., F1 and a A1. Both have convex grinds. A convex grind works well for chopping/cutting wood.
I've cut up branches with both to try them out, worked well. Slow going, but doable.
I definitely want a F1 one day, just so much $ to part with.
I also like the Condor Knife and Tool offerings. Definitely something for you guys to take a gander at. Carbon steel and leather sheaths at budget pricing.