Don't recall any formal differences training at my last carrier which inherited two IAE 320s. Beyond what others have mentioned...
- The IAE seems more vulnerable than the CFM to uneven acceleration, so pay careful attention to ensuring you've stabilised at 1.05 EPR / 50% N1 before whacking the thrust levers forward.
- Greater residual thrust compared to the CFM (possibly an illusion!). Closing the thrust levers at about 35 feet works well for me.
That's all I can think of, though if you've got different engines you might have a different FMS (Thales vs Honeywell). They're not difficult to get your head around.