Please check out the Hermitage Hotel:

http://www.hermitagehotel.com/eng_new/about.htm

Nice small hotel, nicely decorated rooms, incredibly nice and helpful staff. Located immediately at foot of Pte. Vecchio, 1/2 block from Uffizi. Nice living room with cocktails/wine available in evenings, view of river and Pte. Vecchio. Breakfast on the roof every morning. We had a wonderful stay there last fall and will definitely stay there again when we return to Florence (hopefully soon)!!

(For those who notice similar post to similar recent thread please excuse)

PS Moderately priced with current exchange rate for a nice place is tough!!