4 adults traveling November 14 - 25. Prefer small bnb or family run hotel.
Many properties will be closed by then. Other than your travel dates you have provided no information that might help us help you. I suggest you try using the filter system here https://tinyurl.com/y2j99p4l and plug in your budget as well as any other requirements you might have. You can do the same thing for Mykonos.