kyarcher,
your gonna get a bunch of different answers and they will all be correct...for the person that is giving the advice or tips.
Me? I prefer a good Browning or Winchester...they shoulder up perfect for me it seems. I have also shot a few 700 BDL and CDL rifles...they have shot just as good and the bolts were a bit smoother than the Winchester, but not as much as the Browning. I have a Savage and like the way it is customizable and it shoots just as fine as the others.
Bottom line is...any rifle can do for you...the prices are reasonable enough that you can go somewhere and find a rifle, mount and ring set and scope and be at that number or less.
If you have a gander mountain or cabela's around where you are, or if you are familiar enough with a gun-shop near you, go and pick up the rifle...shoulder it...see how it feels...that is the big part right there...if you are comfortable with it.
Calibers? if you are looking for deer and elk only, then I would suggest a 308, 30-06 or 270. Magnums are neat, but I wouldn't bother with them with just those two goals for you. Plus those calibers will harvest piggies and if you start reloading then you can do all kinds of things with any of those three calibers.
Hope this helps a bit.
D