I got to go reenact there in 2016, awesome State Park!
The whole battlefield is good, I like the area of Jones Crossing, (got to see a Confederate artillery train cross it) and where Palmer's Georgia Battery was basically massacred. If you follow their normal tours and so forth you'll get a good idea of everything and get to see it all. You might get a cardio workout in too though with the hilly terrain.
You heading towards Florida, it might be a little out of the way, but the Civil War Museum of the Western Theater and Old Bardstown Village isn't too far away from Perryville. They have a ton of uniforms, guns, and everything in between. I suspect some of the uniform items there are Centennial era replicas, but its still a great stop. Just down the road from it is a more modern museum that has Sergeant York's .45 of WW1 fame.
Good luck with your trip and here's to it being a great one!