I'm from St. Bernard, but now in Mississippi. I always say palm trees are Florida but Louisiana is Camellias, Azaleas, and Magnolias. Your pool is just gorgeous. Along the fence needs softening I think, you could plant camellias, they like shade. You would have to research what kinds depending on the bloom time and your winter and summer temps. They bloom in either fall/winter or winter/spring. There is a tree called Little Gem Magnolia, it is a small magnolia and I think evergreen. Camellias are evergreen so not much leaf drop. Hibiscus are beautiful shrubs for full sun, also lantana full sun - these are shrubs. Citrus are great and look tropical. Check what grows in your zone, but lemon, orange, satsuma are some to consider. You could also do containers around the pool to soften that up too.