It all depends on what you want to use it for.
Truthfully, a .300 Win Mag, which is similar in recoil/performance to a .300WSM, is overkill for whitetail within 300 yards and a bit more.
As such, the .300 Weatherby Mag, which has more recoil than the above, is more overkill for whitetail.
Accordingly, the .300RUM, which has more recoil than even the .300 Wby, is that much more overkill.
Now, if you intend to use your gun for bigger game such as elk and moose, then the .300 Win Mag, and the .300 WSM are a fine choice. Moreover, if you are hunting these big critters at long ranges, then the .300 Wby/RUM are not totally out of place.
Other related questions: Have you ever shot these magnums? Can you shoot them accurately?
DON'T MAKE THE SAME MISTAKE I DID WHEN I WAS 18 YEARS OLD:
I was reviewing ballistics and saw that the 7mm Rem Mag shot very flat and appeared to be second only to the 300 Win Mag in terms of energy performance. So I bought a Browning Stainless Stalker in 1988 in 7mm Rem Mag. What a mistake. That gun caused me serious flinching issues.
Then I bought another Browning Stainless Stalker, but this time in .270 Winchester. Good Choice.
Now, out of the 4 cartridges that you mentioned, the most widely available ammo of the 4 is the .300 Win Mag, followed by the .300WSM, then the .300 Wby, and then the .300RUM.
However, I encourage you to seriously consider the .30-06. Recoil is noticeably less than the .300 Win Mag, but performance is not THAT different in the field. Moreover, .30-06 ammo is EVERYWHERE!
Listen to my advice, and don't make the same mistake I did when I first started big game hunting.
Zachary