A good handgun for big game hunting would be any manufactures gun in caliber .454 Casull. A good target shooting pistol would be anything chambered in .22 caliber.
Handguns are used for defense, for hunting, and for target shooting.
The question is to broad and vague to be answered. You have to define what it is you are going to do with the hand gun, i.e., hunting, target shooting, collecting, self defense.
It depends on target for what: they will be different sizes for archery, rifle shooting, hand guns, heavy artillery, and so on.
The katana would make a good display piece, but there is not much else you can use it for, unless you want to become a samurai. On the other hand a shotgun could be used for sporting (clay pigeon, target shooting), hunting or even defensive purposes. If you want a good display piece- Katana. If you want something you can use- shotgun.
His right hand
that would depend on what you were shooting at, a target, hopefully you hit it and you are proud of youself. Shooting at a person on the other hand could result in return fire, and you are dead or... you hit the person and you die any way when you get the death sentence. Guns are no toys, every one of them carry a death sentence ... be it yours or someone else
Clay Target throwers are used in trap shooting to throw the clay targets. The clay traps (clay pigeons) are then shot for practice or for sport. It is very difficult to toss clay targets far enough by hand so the throwers are needed.
A buck on the rut can easily kill a man with his antlers and sharp hooves. However a man with a good hunting knife on hand will be able to defend himself and kill the deer. He won't be so lucky with his bare hands though. A man with a hunting rifle, a bow-and-arrow or a crossbow can also kill a deer, provided he's shooting at a desirable distance to kill a deer.
If you mean, "how can you be a good shooter," try taking lessons. The way you shoot well is, properly align the sights and properly manipulate the trigger.
Browning safari grade rifles are hunting rifles, not target rifles. You should reasonably expect 2"-3" 3-shot groups at 100 yards. Although this can't compare to an accurate target rifle, this is more accuracy than most people can take advantage of in hunting conditions. Altough a hunting rifle is built for accuracy, other concerns are reliability and ability to accept a multitude of ammunition, including multiple bullet weights. These competing concerns cause the manufacturer to make trade-offs that may cause the rifle to produce less than target-grade accuracy. You should not be concerned with lack of target-grade accuracy if you expect to use the rifle for hunting. On the other hand, the rifle may 'enjoy' a particular brand of ammunition or bullet weight and you may find it shoots more accurately than above. Good luck.
Solingen Germany hunting knife
Target practice, rodent control and teaching others the basics of handling a rifle or pistol. Pellet Guns/Rifles on the other hand are used for the same reasons but are also used for hunting.