Just a word of caution on using a weight distribution hitch on a Ford F250.
First we've just returned from a 5000 mi trip towing Journey On, a C-Dory, weighing ~9000 #, including trailer, hitch weight of 750 #, with about 500 # in the truck bed. So the weights are in the ball park of a Tug. And with no equalizer hitch and no problems. Though with electric/hydraulic brakes, thank God
I have read that tag on the hitch and installed an equalizer hitch. Going up a wet hill I lost traction because the trailer weight was the same, but the hitch had transferred weight from the rear driving wheels to the front. and that's what an equalizer hitch is supposed to do. Removed the equalizer bars and went on my way with no problems.
So what was the problem? First, lets look at what an equalizer hitch does. Those bars are a big spring which puts a torque into the hitch around the ball. This torque transfers weight from the rear wheels to the front wheels. This reduced the hitch weight on the rear axle just as advertised, which also reduces the driving force the rear wheels can put out, due to reduced friction force. At some point the rear wheels will just spin and I've proved that on a steep uphill that's wet. If you have a 4X4, it's all even, but I don't.
The Ford F250 has the stiffest spring on any truck I've ever owned, and a tongue weight of 750 # is well within its capacity and gives good traction. You can upgrade to a heavier hitch, but adding equalizer bars will always reduce traction on the rear wheels. In addition, those bars are springs, not dampers. Springs store/return energy, dampers remove energy. So I'm not sure how those bars add to stability. In fact on a F250, by reducing the rear wheel weight and thus the traction, they may reduce stability. For the house trailer, I've added a friction damper, which works well. I don't need it on the boat trailer.
Just a few thoughts of which to be aware.
Boris