You will need: Palm frond “boots jacks”, wiggle eyes, red pom puffs, tinkle bells, bows, glue gun (or Elmer’s glue if you will not display your deer in the elements).
I have not seen these around in a while and wanted to bring back the tradition. When we were kids we used to put reindeer together and sell them for a buck each to folks passing through the neighborhood. Nowadays you can find them for sale on the net for $10 each (must be inflation)!
The base of the reindeer is a “boot” either pulled from the trunk of a Sabal (aka “Cabbage”) palm or found lying on the ground underneath one.

All you need to give the reindeer a personality are some wiggle eyes, a red-puff for the nose, and maybe some bells and bows (all available at any craft shop).
My Florida Reindeer may be a little plain, but that is the traditional way to make them.
You can really let your imagination go wild and add all sorts of doo-dads or even paint your Florida Cabbage Palm Reindeer to suit your personality.