When you check out the various rifles for fit, etc., some other variations to check for your personal preference are:
-Location of the safety
-Whether you have to disengage the safety to open the bolt
-Whether you can open the magwell floorplate for cleaning
-If there is a detatchable magazine
-If there are iron sights (many bolt rifles don't come with sights anymore)
-If you're going to mount a scope, will you need a gunsmith or does it already have a spot for scope mounts? (I think the CZ 550 has a mount built right into the receiver)
-Trigger - Set trigger on the CZ or Accutrigger on the Savage - there might be other nifty triggers out there
-Metal - blued, parkerized, stainless steel,
titanium(!)
-Stock - wood, synthetic
-Weight - lightweight if you are going to carry it in the mountains, heavier if you plan to shoot it more than a few times a year
I believe the Remington 700 is available in a variety of the above features
I recommend taking a hard look at the CZ 550, but you can't go wrong with a great American Remington, Savage, Ruger or Winchester.
And to save you a lot of digging into CRF vs. Push Feed: Controlled Round Feed - as found on Mauser actions and pre-64 Winchesters - holds onto the cartridge as you feed it into the barrel. The major advantage of this is that you can feed your second round in an inverted position without it falling out on the jungle floor while shooting at the upside-down tiger/water buffalo/mutant zombie/bear that just knocked you a** over teakettle when you missed your first shot.
All that said, a Remington 700 bolt action is a great way to go and .308 is an excellent round for lots of game. And you can get good deals on surplus ammo. If I had to choose only one caliber, 30-06 would be more likely, but we're all lucky in that we don't have to choose just one round.
Oh -- and get a good scope. Any Leupold would do nicely as a first scope. If you get a variable power (the most widely available these days), you will likely use 4X most of the time.