I don't think anyone addressed your question regarding where to get weighed. Truck stops sometimes have them, Cat Scales is one. Some moving companies have them. Google "public scales" and you'll probably find one somewhere along your route. The State of Oregon actually leaves their highway scales on 24/7, you can pull off and check your own weights.
After you get either your front/rear or four corner weights, if you can, use a tire inflation chart to verify the appropriate psi for your size tires. This could help with the ride as well. All tire manufacturers use the load charts. I think I used Toyo charts as they were the easiest to locate online.