For the braid portion of this, I have spent countless hours trying to answer this question for myself. I will answer based on my findings but will start with the fact that I am not aware of a fish that swims in TN that has the stamina or power to warrant a lot of thought on the topic. What I have seen requires no more than a simple uni to uni knot.
In saltwater applications I mastered tying them all. The Albright, Alberto, Uni, Worm, FG, you name it, I learned how to tie it and tested it against many of the world's largest game fish. The number one thing I found is that they are all strong enough- what's most important is that the angler be able to tie them perfectly under any conditions. My goal was to be able to tie whichever knot I was using at the time in the dark on a rocking boat quickly and perfectly.
A few things for you to consider: How different is the size of your braid to your leader? At some point, it becomes necessary to double up your braid to make your knots 100% effective. Until I settled in the Albright knot, i always tied a bimini or a spider hitch in the braid when connecting lines that are drastically different in size. Having a double line is also required for some of the connection knots I listed above.
You should also consider the style of fishing and how long your leader needs to be. In some applications I would have 20-50' leaders and if that's the case, one of the knots that slipped through my guides the easiest was critical. Conversely if I only needed a 2 foot leader, the knot choice was less important.
So, after years and years of tinkering my recommendation is to pick one you can tie with your eyes closed. There aren't any tarpon in the Cumberland or Bluefins in Kentucky Lake that make your knot choice all that important.
Nice looking knots!
