If you are able to stay here consider yourself very fortunate. It is very quaint and in a great location.
We arrived in Florence via train, walked with our packs and 2 children (8y and 10y) and it took us about 20-30 min to get to from the train. (we also walked to the train station for a day trip and to leave Florence as well without any problems).
There is a washing machine, which we used. We packed light and this was the mid portion of our trip so we did a couple of loads of laundry. This we had planned so that we could pack lightly and it was such a great element to our travel.
The place has everything you need and if not there is a store within a 1 min walk.
Every site we went to was within 10-20min walk.
This is a wonderful place to stay in Florence!