Dei Duchi Hotel is perfectly located to make exploring Spoleto very easy. This town's historic centre has 3 escalators which assist travellers in getting to most parts of the old town and it is fairly hilly so for those that don't want to climb, these escalators (tapis roulants) are really handy and free! The very top of the town has a fortress and a roman aquaduct.
From Spoleto, it is a short drive or train ride to other Umbrian towns like Spello, Assisi, Perugia and a little longer to others like Orvieto (1hour 15). The food in this region is excellent and people are very friendly. I recommend a stay here and it's only about 2 hours away from Rome.