The house where Dante lived is a rather simple 3-story structure. The entrance fee is small (around $5) and you can wander around inside for as long as you like. There are exhibits relating to life in the 13th century in Florence, and other rooms dedicated to Dante's Inferno and other works. ~~~~
One of the more interesting artifacts is a petition seeking to allow Dante's remains to be moved to Florence. (Dante is buried in Ravenna due to his exile; the tomb bearing his name in Santa Croce is empty.) One of the signatures on the petition is that of Michelangelo. ~~~~
Just outside the house, on the other side of the alley is the church where Dante's family worshipped. Just down from it is the Church of Santa Margherita where Beatrice (Dante's muse) attended mass. There are several beautiful paintings here, and the church has the typical Italian feature of requiring 100 lire be placed in a machine before lights illuminate the walls. Beatrice's tomb is located here as well. Apparently Dante saw her nearly every day and she inspired his writing, but they both married other people. ~~~~