What can cause my RPMs to go up when first starting to go

You have the 4 speed automatic transmission, I'm understanding from your concern? A CVT transmission, also optional on this vehicle, would not "change gears" - it would rev to match the power needed to get your vehicle going. If it's a 4 speed, then - check the fluid to ensure it is clean and full. If so, it'll require hands on testing with a diagnostic tool capable of monitoring operation of the transmission and input information to it to see what's going on when the problem occurs. Trouble codes may be present, and should be retrieved also. Use this link to find some shops near you that can help with your concern: www.repairpal.com/repair-shops