Your choices will be influenced by the type of game you intend to hunt, the type of country in which the hunting will occur, your personal prejudices with respect to action type, the cartridge you're inclined to use, and your budget. When you think hunting rifle, what comes to mind? Are you thinking of a long barrel rifle or a carbine? Some folks immediately think of some type of bolt action, but others are drawn to lever actions, falling block single shots, or semiautos. If money is tight, a used rifle might provide you with good quality at a reduced price. TEC Tradex is know for honest appraisals of the used rifles they sell, and for selling them at fair prices.
When considering your budget, consider not only the cost of the rifle, but also the cost of the ancillary equipment you may need, such as a scope and mounts, after market iron sights, a sling and swivels, cleaning equipment, a gun case, etc. Other considerations are whether or not this will be the only rifle you intend to own, or if others will follow. If you intend to be a one rifle owner, it should be as versatile as possible, and versatility is enhanced by handloading if you're so inclined. If factory ammo is what you intend to shoot, look around some of the local stores in your area to see what ammunition is commonly available, and choose your rifle accordingly. The cost of ammo can be mitigated if you purchase it in larger quantities online from one of the supporting businesses found at the top of the page.
What is your shooting experience? If limited, be wary of extremely light rifles chambered for larger cartridges. A .30/06 is a great cartridge, but its a handful for the uninitiated in a 6 pound rifle. In an 8 pound rifle equipped with a good recoil pad, most healthy adults find full power .30/06 recoil tolerable. If you find that your new rifle kicks more than you can enjoy, choose a load with a lighter bullet weight, or perhaps managed recoil loads are available for it. If you shooting experience is limited, a 6.5X55 might be a better place to start. Rifles chambered for this cartridge tend to shoot well, and can be used with confidence on most North American game.