Single most important: drive slow, take your time. Rather than plan on going 500-600 miles a day on the journey, make it 300. Max. And NEVER be anything but the slowest rig on the road. Make THEM pass you, not the other way around.
And NEVER tow into a big headwind. I got into a couple days like that going west across Montana, and it was rough going, but I had no choice. I foolishly did it again eastbound across Oklahoma. Never again. Hang out for a day and let the winds change. You can use the rest and you'll save a bunch of fuel.
You are starting a new adventure, welcome aboard and enjoy yourself.