Think Audry Hepburn & Cary Grant in Roman Holiday. Or just look nice, whatever.
Kids are welcome, but if you want a night off, let us know and we can try and find a local babysitter (fully vetted of course.).
There are plenty of hotels around the area as we are so close to Perugia. However, if you are staying the week, it might be cheaper to rent a villa. Let us know if you are interested in the latter and we can possibly hook you up with others that are wanting the same.
Sadly, no.