Congrats on your purchase. I have a 6mm CM, but also bought a .243 afterwards. No real difference except in standard barrel twists and the dimensions, which favor the 6 with heavy bullets. For hunting? Meh.
I've killed deer with 100gr NPs and 100gr Sierra Pro Hunters. If the rifle will shoot them, I prefer the Partitions, however 45gr of RL26 with the PHs shoots fine, and you have some room to add a bit more if you need it.
I have scads of .24 bullets in the 85-115gr range. Have a lot of futzing around to do with both rifles. I "lost" last Spring and Summer dealing with elder-care issues (NOT mine, thankfully). The .24s are pretty much ideal for this area, methinks, especially since next-door VA hasn't jumped on the .22 caliber deer rifle bandwagon yet.