@Tiff; Welcome to the TreeBuzz forum. I think you are going to like it here.
I'm not a pro, I'm just here to welcome you to the forum, and give my general impressions.
First, @
cerviarborist is a pro with great, specific experience from within your own state, so I'd give his views a lot of weight.
The other two gentleman are also pros with great experience.
If I were you, I'd go on YouTube and look at a few of the palm frond accident videos, just so you have an idea of what hazard you might be looking at.
Having said that, if you don't care about spending money on gear that might not get used that often, I would hate to discourage you from learning to climb trees. Just study your tail off as to how to do things, and remember the mantra of always trying out new systems and equipment "low and slow".
Also, if you have access to some, I think Florida has the "Live Oak" species of tree within it. I think that would be a really fun place to learn to climb, as opposed to the Palm trees. The question is whether or not you can find some relatively close by that someone would not mind allowing you to climb. You should google some photos of the Live Oaks.
Also, for learning to climb, besides coming to the arb forums, you should visit this web site if you have not seen it yet.
http://www.climbingarborist.com/
It is the only place on the net that I know of that offers a comprehensive set of videos, and that are categorized to make it easy to focus on one area of study at a time. From the most basic things, such as how to tie the knots needed, to more complex things, such as climbing systems and rigging techniques.
My final thought is that I try to build in redundancy in my climbing systems wherever possible, as I don't want to have the failure of a single component be the cause of a fall. Being a rock climber, you probably already think this way, anyway.
Best of luck, if you decide to take up tree climbing. Keep us posted on how things go, if you do. Thanks.
Tim