What's the best thing for backyard privacy?

I have a 2 story house behind me and am looking for the best combination of tree/ plants to use for privacy, beauty and low maintenance. I live in Jacksonville, FL and was thinking about Bamboo plants ( clumping ) but have heard they attract rats - don't want that! I also have a pool and do not want anything that sheds dramatically. I was also thinking about fruit trees but I have no experience in that either :( Some guidance would be greatly appreciated!

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