How big is your family? If more than 3 or 4, you’re looking at a 4 to 6 seat airplane.
If you don’t know anything about flying, before even considering buying an aircraft, I’d suggest that you take lessons first. See if you have “the right stuff”. Get your sport pilot or even a private pilot license. And for God’s sake, get an instrument flying rating. Once you know the requirements and demands of flying,, then you can get into renting airplanes, practice, practice, practice, and when you get real good, THEN you can start thinking of flying passengers, especially your own family. It takes experience to become a good pilot. Experience and being constant and thorough in your training.
So, after you have spent a year or two becoming a proficient pilot, THEN see if you really want to buy an airplane and by then you should have a pretty good idea on what you would want.