Sway control.....
I properly loaded balanced trailer with appropriate tongue weight will not be much of a sway problem.
Speaking from experience: I currently have four trailers 18' car hauler, 14' very heavy dump trailer, 26' camping trailer, 10' utility trailer. All dual axles with brakes except the utility trailer. And have had and towed many others.
One by one:
The car trailer has never been a sway problem I do not use load levelers or sway control, but carefully position the load to balance the trailer and tongue weight on my 3/4 to pickup.
The dump trailer, I don't really use on the highway much, but again balance the load and use no load leveling or sway control.
The utility trailer will sway sometimes, again not sway or load level controls. But it is a single axle and light enough to not be an issue.
The camper is a swaying machine tows terrible!!!! Worst towing camper I have ever had. There are a number of reasons: first it is a big box so wind a trucks affect it profoundly, second it is light in the tongue about 400 lbs for about 7000 lbs of loaded trailer, third there is a large section behind axles increasing the moment arm. I try to front load it, and have moved the spare tire to the tongue. I use load leveling (old style Reese) and a friction sway control it is still a "white knuckle" ride every time. Ideally the tongue weight on such a trailer should be 10% - 12% of trailer weight. Without that tongue weight a system by Reese as suggested by Hematite is not effective at reducing sway as it depends on tongue weight.
I have had other campers that towed fine. This one is poorly designed IMHO.
I once lost control of a rented car trailer and got into an uncontrolled sway and spun out. This was because car was loaded backwards causing very little tongue weight and the trailer brakes not being connected, one way to stop swaying is to apply trailer brakes. This was a bad situation where I did a number of thing wrong!
That said with an equipment / car trailer, depending on your load and your ability to shift it fore and aft to balance the load, you will likely have very little if any trouble even without sway and load leveling control.
Sorry for the long post and take my (free) advice, experience, opinion, and conjecture for what it is worth!!!!