The quiet and private thing is really what separates the villa areas from the rest of Dubai. Once you’re out past the main commercial strips it’s a completely different pace, proper residential neighborhoods with an actual home feel to them. Check out villas in Dubai for sale here: https://atvir.com/uae/residential-complexes/villas . Filter by area and you’ll see pretty quickly which spots match your budget. The further out from the center the more space you tend to get for the money.