I have all three calibers,and like all of them. It would all come down to what caliber you deem having an advantage for you.
You can get a little more velocity out of the 25/06 with the same weight of bullet,but the barrel on the 25/06 will heat up faster than the other two calibers.
With the 6.5mm calibers,you can get some really great flying bullets,the only bullets that would come close in a 25/06 would be the Berger VLD's. My Savage 110 FLP 25/06 doesn't care for bullets under 100 grain,but my Custom 6.5 Creedmoor,and my DPMS LR-260 both shoot the lighter bullets well. I don't ever shoot factory ammo,so I don't know what types are easily found for any of these calibers.
Since you also want to target shoot,I'd go with one of the 6.5 mm calibers.
Texas State Rifle Association
North American Hunting Club