Many good choices are out there that'll fit your needs. In addition, you have received some real good advice. Here's what little I can add:
1. Whether or not you handload is a factor
2. If you do NOT handload, availability of a particular cartridge in your area is something to consider.
3. Recoil tolerance
The 30-06, 270, 308, and 7MM RM are the most popular/easy to find cartriges and have the most options in factory ammo.
The 270, 7MM-08, 260, 25-06 will have less felt recoil
Just some more food for thought. I have a Savage M110E that is very accurate and reliable. There are other options though.
Remington M700ADL (synthetic and wood)
Remington M7600 (ditto)
Remington M710 (my last choice)
Ruger M77mkII (I bought one in stainless/laminate for $489)
Weatherby Vanguard
**as a note, you can find great deals on used gun racks with little effort. There are several rifles out there with little and sometimes no use that people just don't want. Winchester M70s(push feeds), Remington 700s, and Ruger M77s(both MkII and the tang safety ones) can be had for a song at times. My suggestion is to handle different ones and then decide which one fits you the best.