The various court surfaces available are different in texture, bounce, and speed.
In terms of playability, each surface has a advantages over the other depending on need and circumstance.
Clay courts have a slower and often unpredictable bounce, but offer less shock to the legs and more time to get to the ball. This surface is especially suitable for older players since it is easy on the joints and back. I prefer clay for that reason, if no other.
Rubberized Base courts have a slow, almost hollow bounce, but give the cushion to the legs that hard courts do not. This is my second choice for playing while trying to prevent joint wear and injuries.
Hard courts offer a reliable bounce, fast response, and low long term maintenance effort. I used to love them, but do see that these courts favor the young, fast, and flexible. If you have back, joint problems, or arthritis, these courts let you know it quickly.