Welcome to Bonita.
Like you, I was only able to be in my new home for a week after I purchased it. I tried to make sure I covered all my bases in that short period of time. I met with my builder, met with someone to explain the irrigation system and check the sprinklers, met with the air conditioning people, scheduled pest control, had cable installed, (I scheduled this several weeks before I closed to make sure it was done when I was at my villa), installed gutters, and hired a home watch person. All the advice Redwitch gave you is excellent. If you are able to schedule any of these ahead of time to take place when you are there, all the better.
I still made sure I found some time to enjoy myself by going to the pool, taking an exercise class, played a round of golf, and went out to dinner a couple of times.
Congratulations and welcome to The Villages! I know you will love it here.