[growlNark]

Hostels often offer private rooms, to varying degree of privacy. But i've certainly stayed at hostels that offer very comfortable single private rooms with private bathrooms for a third the cost of a local hotel room. Expensive for a hostel, but great value for the privacy.

But if you're traveling with your family, just get hotel rooms. Hostels only came up in the first place in response to a gripe about solo travel.