I also recommend going with a bolt action rifle vc auto-loader or lever action. you'll have more flexibility and an easier time with mounting accessories (like optics). lots of well made, inexpensive options out there - since you own a Savage I'd start there. they make a superb firearm.
you have tons of caliber options for deer hunting. kinda depends on the turf you'll be hunting. if it's open (not too much ground cover) I recommend a faster, lighter bullet like .243. if you're going to be shooting in heavy cover Rusty's recommendation on .308 WIN is solid. .30-06 would be another good choice. you'll want to do some home work on bullet options. will be key to match your bullet to the conditions you're hunting - lighter boattails for long range shots, heavier spire point for heavy cover, etc.
a .270 WIN gives you a solid balance of long range, punch-thru, and knock-down power. I've used .270 on everything from whitetail to elk to antelope. no issues with kills, range, or cover penetration. wide variety of loads (bullets) available commercially.