I have recently changed my tires from the Bridgestone Dueler H/T to the Toyo A/T Open Country. I drive a lot on-road and off-road in different locations and in different situations. I judge tires based braking, cornering, sound, and overall traction. The Bridgestone Dueler H/T were horrible tires, and they are horrible at braking so I would avoid them and if you have them I would change them right away.
The Toyo tires are really good for being more off-road oriented then most tires, but since they are All-Terrains they do a good job in different situations. In braking the tires are much better then the Bridgestones and in cornering I feel more comfortable with these tires. Overall I am very happy with these tires, and the only tires which I think would be better are the BF Goodrich All Terrains.