This is a perfect location for exploring Florence. It is a first floor location in an old building, adapted as an apartment. For proximity to Pitti Palace, the Ponte Vecchio and other bridges, to the city etc it's perfect. Just around the corner is the local piazza which has market stalls each day and thriving sunday markets. There are also great cafes etc for your morning coffee and lunch/dinner. Supermarkets are also close. The area holds may wonderful artisans - well worth exploring as well.
Florence is working on providing open internet access across the city but it is still a bit unreliable - narrow streets, old buildings etc .....you'll just need a bit of patience.
Walter is a wonderful host - helpful, accommodating, willing and cheerful. He was most gracious about rescuing me when I managed to lock myself out one evening.
If you want a five star hotel style place, this is not it. If you want to experience Florence, you'll have a lot of fun here.