I have no clue what "cxp2" size game is but unless you are going to be hunting something larger than a whitetail deer there is nothing wrong with of the standard grade name brand bullets in the calibers you mentioned. I really like Sierra GKs and Hornady SSTs for everything in at least two different calibers.

Hard to beat the Core-Lokts for cheap bullets on deer sized game. We have never lost an animal around here with them and most where bang flops.

Sierra Game Kings are hard to beat. I have used them in my 25-06 on Mule deer and they work great. The bonded Core-lokt bullets are made by Swift and are the same thing as the Scirocco but cheaper and under the Remington name.