Growing up in Memphis, Bermuda was always the favored.
It does, however, require sun and a light to sandy soil.
When I moved to the countryside, I was more into grass that did not need to be so manicured.
Fescue should be the best for you.
It does tolerate some shade.
In heavy shade, you should have beds of shade tolerant ground covers such as vinca, not grass.
There are many that will thrive in shade, and require minimum care and maintenance.
All areas can be different, depending on many variables from
PH and weight of the soil, to temperature extremes.
We have a shaded yard that has bare spots under mature trees, some oaks and a magnolia. Being on a hill we need something to grow there because of erosion. I am aware of vinca as an annual flower for shaded areas that has to be repurchased and planted each year. I would like a grass, but anything that will hold the soil in place would do. Any thoughts?