Some dependence on the slope. Zero radius mowers can be unstable going UP a slope depending on the degree. They have little weight on the front and have a tendency to go over backwards on steep ones. You may note that many sport roll bars for that reason. If your mowing pattern can be adjusted to "contour mow" then could be o.k.

You may also want to look into those in which the deck folds. Makes parking and servicing the blades a lot easier.

O agree that Kohler engines are junk. I have one in my Husqvana and cannot stop the oil leaks.