I planted a small patch of Bermuda grass, but neighbors explained that it is very invasive. If you are used to cool season lawns, you are in for a shock with running warm season grasses. Bermuda does grow quickly, and can get into flower beds and vegetable gardens. It is the easiest lawn to grow, provided you have plenty of sunlight. It is the most drought tolerant, and responds the best to heavy traffic.
Zoysia grass is another option for sun to partial shade.
It needs to be sodded or plugged, and does form a thick carpet. It too, has runners, but they aren t as persistent as Bermuda. The other two options for southern Arkansas, are St. Augustine and centipede. Both of these lawn grasses have coarse foliage, but form low growing thick turf. St. Augustine will do well in both sun or shade.