I have the .243, .260, 7mm-08, and the .308.
There was an article in some magazine some time ago that discussed the .260, 7-08, and .308 as the perfect whitetail cartridge. The 7-08 was the author's pick, and it's mine too.
For deer (especially in Texas where I am originally from) the deer are generally small. As such, even the .260 would work just fine. My .260 is very accurate and has low recoil, I guess just like the 7-08 and .308. Anyway, I would pick the 7mm-08. I shoot Hornady 139 grain Light Magnum bullets and it hits deer and drops them quick.
Zachary