Hotels close to the airport
I stayed in 'Hotel Charter Otopeni' and was satisfied. It takes 10 minutes with bus 780 or 783 from the airport, then 5 min walk to the hotel. They have a free shuttle service back to the airport at any time.
Is there a specific reason to be close to the airport? For early flights you can pre-arrange a taxi or take an uber to the airport. I would say the area is not particulary great around Otopeni.
"I would say the area is not particulary great around Otopeni."
Is there a lot of crime there?
Nope, but it's far outside the city and has few amenities ( just the overpriced stores and cafes inside the airport and a couple of expensive hotels plus a cheap but badly rated one).