Hi Brent, I've been in your shoes, having rewired a 1974 34-footer. I started with the idea of doing a small project, but ended up ripping out every wire and re-doing the whole thing. It's a large project, but if you approach it systematically, it's very doable for just about anyone with enough time.
- Ensure you have enough knowledge of electrical systems and components to do this project. You've got to understand the basics of current, voltage and resistance. You've got to understand wire sizing for different runs (voltage drops), series vs parallel, etc...
- Get good tools. A good multi-meter, good ratcheting crimpers, good stripers and cutters will make the job a lot more doable.
- Before beginning, I strongly suggest you create a detailed electrical diagram of your intended new system. A CAD is great, but a well drawn out schematic will also work. Follow it as you're installing the new cables, wires and loads. It's easy to get lost in the wires.
- To your specific question, tinned copper strand wire is what you want. Ancor is the big name, although there are probably others.
Go slow. Be systematic. Have fun