St Augustine sod is a wide bladed grass suitable in a range of yard form Full Sun to Shade.
Bermuda sod is a five blade grass that works better in mostly sunny to full sun yards
Centipede is a Medium blade sod that works best in mostly sunny to full sun yard.
Zoysia is a Hardy grass with many different varieties ranging from Medium to Fine blade and from full sun to mostly shaded. There is a variety that fits your yard