Haven't been hunting long but here's how it is currently.
Depends where I am. If it's thick woods, I grab my condor airgun. It's good out to 50-60 yards on a bad day. 80 fpe with a solid pellet that just destroys skull. /ubbthreads/images/graemlins/smile.gif
If I'm in a field, looking for long range shooting. I grab my 300 remington ultra magnum topped with a nice 6-24x50 scope. 180g bullet at 3330 fps. That's about 4433fpe. That will drop just about anything in most of the world. It's my go to gun no matter what I'm after. Kicks like a mule, but once you get past that, it's a great gun. I can shoot 1 moa with it, so it's a good gun. Overpowered for a coyote, yep, but it gets the job done.
Ammo prices suck though. 60-70 bucks for 20 shells. Ouch.