Explaining FL property taxes can be a very complicated topic, especially for people moving here from another state.
First, any prospective buyer needs to understand that while you can look at homes in a specific price range to get an idea of what to expect for property taxes, a buyer should not rely on the seller's current property taxes as staying the same in the year following your purchase. A sale triggers a reassessment of the property -- if the new assessed value is higher, the taxes will go up as the largest portion of our tax bill is the ad valorem portion based on millage rates. The higher the assessed value, the higher the ad valorem portion of the tax bill.
If you notice home (a) has much lower property taxes than home (b) even though they are in the same area and are similar in size and condition, you need to know that a home where the owner has lived a number of years (and is their homesteaded property) may have lower property taxes due to the 3% per year cap on increases that is a benefit of having the homestead exemption. Homesteaded properties also have added assessment reductions which result in savings on the tax bills. As I mentioned above, the home with lower taxes will see the property reassessed after a sale, so the buyer should not assume that the taxes will remain at that lower tax rate. Same for a bank owned property that may have lower taxes due to the foreclosure.
By the way, the new assessed value will not necessarily be the same as your purchase price, the assessors have a formula they use that includes other recent sales in your neighborhood & other criteria such as replacement cost of improvements, location and condition.