I haven't shot a factory round in as long as I can remember. But having shot my share of deer and black bear I have to agree with Flags - neither are tough enough to warrant a premium bullet (unless it is the most accurate in your rifle).
As for bullet weight something in the 165 - 180 grain would be my pick. Remington Core-Lokt bullets have been around a long time because they work as well as many others. My advice is to get an assortment and see what shoots the best out of your rifle and then go to the same store and buy as many boxes as you can afford of the same lot number. That way you can be sure they will all shoot the same. (they can vary from lot to lot)