There are a lot of opinions on this. The best thing to do is to drive your rig around for awhile and see how it rides. A lot of mfgrs. are putting sway bars on trucks and you may have them installed already. Sway bars are good for taking out the "lean to the outside of the curve" on turns. Anybody with a camper or load that raised the center of gravity significantly will experience this. Since you are towing a trailer, your truck is not likely to sway more than it does without a towed vehicle. The hitch weight will be low, so your C.G. will likely be lower rather than higher.
2004 Tiffin Allegro 27.5 ft. P32 18,000 lb GVW. 8.1 liter. Workhorse chassis built May 2002. 21,000 miles. 2012 Jeep Liberty Toad. RVi2 brake unit.