You have a receiver hitch right? Not just a bumper mount ball.

You may not need the swaybars, but might want to go to a load equalizing hitch. I have a 7500# GVW dual axle trailer and don't have either. But I only load it to about 4K and am careful about tongue weght. Converting to an equalizing hitch is about $300 and can be done at any time. I'm not certain, but think the anti sway can also be added later if needed.

If the tongue weight is too high, add the equalizing rig. If it sways, try increasing the tongue weight. If it doesn't help, add a anti sway mount.

And of course a brake controller. A Tekonshia Prodigy is supposed to be good. I have a Drawtite controller and it sucks!