We did it once. I had a Kinnow mandarin that my hubby kept hitting with his truck so we decided to move it across the driveway. We prepared by digging the hole and then dug up the tree. Unfortunately, our soil is river bottom so when we lifted the tree out of the hole, all the dirt fell away. We planted it, crossed our fingers - the tree never flinched.
It doesn't appear there is a lot of dirt left in its current pot so it needs a repot anyway. Fall is the perfect time. I suggest you find a new spot, dig a hole and lay the pot down by the hole and ease the tree out and slide it into the hole. Be careful not to plant it deeper than it is now. Water and keep it watered. Don't fertilize until it re-establishes itself. In Miami, your soil is probably alkaline so you will have to use soil acidifiers to keep it happy. You can mix some into the planting hole before you put the tree in.