Big Ken,
Gary has a good point about keeping your shots within your particular "Humane Range". Todays 1000 +/- fps rifles are easilly capable of tremoundous range "hits", howeversimply hitting is not often a humane kll and normally results in terrible and painfull wounding that results in a lingering death.
Gary's chart shows a good excersize in ranging the individual gun/pellet preformance and while doing so, it likely showed him "His" grouping abilitys. Please do your quarry and yourself a favor in maintaining distances that you will be able to regularilly estimate hold over/under and still maintain sub-1" grouping.
Computerised Ballistic charts show different airgun's trajectorys with differing weight pellets and can also aid your personal range choices. Heck, ALL of us wiggle and can easilly blow a shot, but nothing but pratice at both short and extended range will show you your own ability and where to draw the line.
Various species of vermin and game animals react quite differentlly to hits in vital areas and the tenacity of each should be followed when dispatching each. Pest fowl are often "lost" to broadside shots, as their strong wing bones and feathers can deflect even a high speed pellet. In most cases a Head shot is best, and this means consistantlly hitting a 1/2 inch mark at the chosen range is necessary. Furbearers can many times be dispatched by a "Heart Shot" if the vitals placement is known and a penetrating Pellet is used. Head Shots are quickest (If the brain is hit) and a penetrating type pell is used. Remember bone is tough and rib or skull bone can deflect or stop a pellet... Choose your shot carefully based on skill, calculated energy, and of course, proper placement. A little anatomy study sure helps too!
Go to Dr. Beemans site at "Dr Airgun" and read his old chart of kill zones on different game species to get an idea of the required accuracy you'll need.
I hope these points help you choose your hunting style and remember that the theability to closelly stalk and be able to shoot from close range is quite a pleasing accomplishment in one's woodsmanship talents! Pratice and enjoy your new rifle, it will surelly give you decades of joy and perhaps be passed on to your Son (along with Dad's Hunting skills!).
Good luck,
ZVP