BIAS: I personally use a 7mm Remington Magnum

That said, both are wonderful cartridges and a very capable. While the Weatherby round is slightly faster, there is not enough difference in performance to truly matter...

Unless you are planning on reloading or live close to a major retail supplier (Bass Pro, Cabela, etc) you would be better off with the 7mm Rem Mag... During this time of hard to find ammo, every Walmart I have been in has had ammo for it... it can be really difficult to find ammo for the Weatherby...