With the 4.7 engine you have the 545RFE transmission. It DOES NOT have MDS, so the TSB outlined above doesn't apply to you anyway.
As road tripper said, the transmission does "learn" the way you drive and somewhat adjusts to your driving style. This problem, however, is a characteristic of the the crappy stock shift schedules, particularly the down shift schedules. IMO, there are quite a few other problems with the shift schedules and torque management setting, but many of these are because the factory has it set up more for soccer mom's (slippery and smooth), although they haven't even done that very well. I believe that if you were to lower the "off throttle" 3-2 and 2-1 downshift speeds/RPM by a little bit (I currently have my 3-2 set to 14 mph and my 2-1 to 7 mph), it would resolve your problem. That's one of the many things I did to mine when I set it up to suit my preferences. I don't know if the stealer can do this and, if they could, they would probably charge an arm and a leg. IMO, the best way to go is to "spring for" a Superchips Tuner with the Advanced Transmission Tuning Application (ATT) and set everything up the way you want it.
All this being said, since this vehicle is new to you, I would recommend you go through everything and do all fluid/oil/filter(s) changes, unless you have all the maintenance records for the vehicle. One other thing, all of these electronically controlled transmissions are "torque sensitive" and, as such, if the vehicle is not tuned properly it'll affect the way the transmission operates. Verification and update of all of the maintenance items is the best way to address this, plus you'll then know exactly where you stand with regard to the vehicles upkeep. Good luck, and let us know how it goes.