Well, choose between which is more important to see outside, the grass or the dogs. The peeing on the ground is going to burn the soil. I just buy lots of grass seed when on sale, sprinkle it out regularly, rake it in, water. Watch the birds take some and the wind, sprinkle it out again, mixed with some dirt this time. Hmm. Got the lint from the dryer, mixed some in there and watered it down. Tried lots of things. Guess the dog wins. It is not much of a path, but you can tell her path in the yard. She likes to go out into the grass to pee, that seems to be good, it is the soil where winter kill happens and the allowment of her leash length that all stops at the same area.
Along with the grass problem we have huge oak trees and to tell you the truth we haven't found anything that will grow but I do have shade flowers around the edges and everybody thinks I have a beautiful yard even without the grass. I left a run between the fence and the flowers because dogs like to protect. I have 4 dogs in our yard and it was either the dogs or grass, I chose the dogs.
We have four dogs and live in SC and they suggested bermuda grass. I am not sure of what grass is good for your area but I would check with a reputable landscape company.
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