At our new house in southwest Florida, we have a few bushes growing outside one side of our pool cage. Each plant has a single main trunk/stem, which looks like a tree or bush trunk, and they are about 3 - 3.5' tall. The leave sprout out at the top of the plant (so the bottom 2/3 are just trunk).
I haven't noticed them recently around here to purchase, so I am not sure what to ask for when I'm shopping. Having only been here since May, we haven't noticed any flowers, just the leaves.
What could thy be?
Pool Plant http://www.unkfrank.com/images/StackExchange/Pool_Plant.jpg