They'd all work fine on a Mule Deer. The 7mm mag is the most general purpose of the three.
Of the two quarter bores the Weatherby has a cache too it, if that's of any consideration to you. The ammo will cost the most of the three.
The 25/06 might be the lightest rifle to carry, the least expensive to purchase, have the lightest recoil, and probably comes with a 22" barrel versus 26" on the other two. 7mm RM and 25/06 ammo costs about the same. The 25/06 being easier on the shoulder helps with practice and accuracy.
