You can purchase several brands of "tan accelerator" oils at Walmart, Walgreens, CVS, etc. These are basically just oil with absolutely zero spf in them. The oil glistens on your skin which helps absorb the ultraviolet rays of the sun. But, BEWARE! the sun in Florida is so intense that if you are pale or have not been in the sun much, you will burn very quickly. Without any sunblock protection you will be hurting very quickly for most of your stay. I would suggest a self tanner a few days before you go, (one with a sunblock in it ) and then apply sunblock liberally while you are on the beach or in the sun. That way you will maintain color without the painful and damaging sunburn that can occur.
Also,, don't know when you are leaving for Florida, but you can purchase a body lotion called Sublime Glow by Loreal or Jergens also makes one. These are body lotions with a small amount of self tanner in them. They work very gradually, but don't turn you orange, etc.
Hope this helps.