RE: New Gun
Your best bet would be to look at a ballistics chart. I believe remington has a good one on their website. Trajectory, energy, and velocity are the three most important things.
Any one of the cartridges you mentioned would be fine. Most people would consider 7mm to be overkill for whitetail. .30-06 is also very powerful. .270 and .243 would offer a lot less kick. It depends on what you are looking for. I personally like .30-06 or .270, but my dad hunts deer with a .243.
By the way, Remington 700 is an excellent choice, and should offer a gun in each of those calibers. It is my favorite bolt action.