Added: 2016-11-07 by another contributor
I am recommending that you replace all the existing grass in your backyard. This will allow your yard to be native, use less water to keep grass alive but still give you the look of a low tidy grass. I am recommending a stair stepped approach to the grasses. The lowest grass at 6" would be buffalo grass.
The next at 12-18" would be blue grama grass and the highest grass area would be 24"-36". This would be a mix of foraging plants. I am listing them out below.
Indian Ricegrass, Oryzopsis hymenoides
Sideoats grama, Bouteloua curtipendula
Sand Lovegrass, Eragrostis tricodes
Goldenrod, Solidago canadensis
White Aster, aster ericoides
Ironweed, Veronia marginata
Prairie Sage, Artemisia
Purple coneflower, echinacea purpurea
Milkweed, Asclepias syriaca