Andrew,
The only stupid question is the one you are afraid to ask for fear of looking stupid. Uneducated can be fixed here, stupid is another issue.
You might be a newbee, but so far, the biggest mistake you have made was not researching this first. You have some good answers now an go on learning how to do this safely.
It is my duly considered opinion that as soon as one has to go to a ball larger than 2" he should be considering a WD hitch system.
Problem with Semantics......
Sway bar has several meanings, and one may apply to a truck, but it has no (imho) effect on a trailer tow situation. That is a transverse suspension member to equalize the position of the wheels on an axle. Engineering actually calls there anti-roll bars. They are not what you want at all.
A weight distributing hitch can make all the difference in the world. It will make towing much more pleasant. I have not been in the market for many decades as what I have works well. So, you will have to count on others for current information. I can tell you it will add a few minutes to hitch/unhitch time, but the time you go to move the rig a couple of blocks and done set it up, you will remember why you usually do take the time....
Matt - Towing only boats and toads these days