Although you could easily easily go with either of the cartridges you're considering, I'm going to agree with others who have suggested you consider the .260 Rem. Just like the .243(actually a 6mm-08)and 7mm-08, its parent cartridge is the .308. So it's actually a 6.5mm-08.
I'm primarily a bowhunter, but I've shot at least 2 doz. deer with my .243 over 4 decades without a loss. I also have an Encore barrel in 7mm-08 that's a good whitetail caliber. Personal preference is the .243 simply because it's plenty adequate for eastern whitetails and, with very low recoil and years of shooting both groundhogs and deer with it, I shoot it better. After reading a lot about the design and ballistics of the .260, about 6 years ago I had a chance to pick up a .260 barrel for my Encore and now I have the best of both worlds...recoil just a bit above the .243 and tremendous range and accuracy. Shoots factory 120's extremely well but factory ammo is expensive and not always available so reloading is a good idea.
Although the .260 has been a little slow to catch on and not many guns have been chambered for it, it's one of the most accurate and versatile medium bore rounds out there and it's getting more and more attention. Savage has come out with, I believe, at least 3 models chambered in .260 for 2011. Savages are hard to beat for out-of-the-box accuracy and very reasonable in price.