Remember, many Chrysler/Dodge/Jeep/Eagle/etc card require a different kinda of transmission fluid than regular Dex/Merc., it's called ATF +3, make sure that you check the requirements of your vehicle.
Also, check the printing on the dipstick, some dodges need to be checked in the park position, some need to be checked in neutral, and sometimes they will say that they want you to check the transmission with the engine running or not running. All of which will written on the dipstick. Remove the stick wipe it clean and read the print on the actual stick.
Most Chryslers are different than normal transmission, because they are electronicially controlled. You'll notice that when you change gears, or come to a stop with normal driving, you will here a series of clicks comming from the engine/transmission, this is the solenoids and such changing from gear to gear.
Honestly, if you're already experiencing transmission problems, something isn't going well. I would take it to a transmission shop, like AAmco. I used to work in a family-owned fast lube, and we did a trasmission flush, "ATF2000", this was a machine that was hooked up to the transmission cooler lines and would accept the dirty fluid from the transmission and put clean fluid back into the transmission. For a dirty transmission, we would flush almost 20-30 quarts of fluid through a transmission. Oftentimes, when we would do a trans-flush on a car that already had trans problems, the problems wouldn't really go away, or they would just get worse.
After a vehicle has been driven for a long period of time with the same trans fluid, varnishes are built up inside the trans and the trans actually changes its behavior to cope with these built up varnishes. When the fluid is changed, these varnish deposits are dissolved and the trans immedietly changes it's performance. This can lead to failure.
<phew>
In summation, take it to someone who knows about transmissions, have it taken care of, the longer a transmission operates incorrectly, the greater the damage can occur.
-SF