Both are excellent cartridges. The 30.06 isvery popular and would be a better choice if you were ever to go after larger game such as moose or elk.

The 308 is a good accurate round and can be had in some rifles that only come in short action. Rem. M7, Ruger Compact, etc...

I'd say go with the .06 unless you really like one of the rifles that only come in short action.