There is a local company called "Down Home Properties" if you wish to deal with a property management company. Many good comments on here are about them for the most part. They are a bit more responsive than the developer's company. . .
Vacation Rental Homes, The Villages Florida
The nice part of their site is that you can select what area of TV do you want to browse availability. . .
look at the LOCATION drop down list on the left, about 1/2 way down
Good luck, there should be no shortage this year.. .
sportsguy