The Savage rifle in 270Win. will do just fine for deer hunting. Ammo is readily available most anywhere, and not too expensive. Recoil is mild. The Savage is a good gun for the money. The Winchester may look a little nicer, but not likely to shoot any better, and generally costs quite a bit more. Save your money, and invest in good quality scope.
As to range with a 270Win., as noted it is certainly capable of some long range shooting
(400+ yds.), but unless you're practiced at those distances it's best to hold your shots to
300yds. or less - preferrably less.
My own personal favorite for a 270Win., though more expensive than a Savage, is the
Remington 700 LSS Mountain Rifle. Shoots real good too.
Check it out;
Link: http://www.remington.com/firearms/ce...e/700mtnls.htm