Niccolos apartment is a great place to stay if you want to discover florence and toscane. We stayed 8 days. It is a small place but exactly what you need.
It's located in Oltarno, a trendy location but not spoiled by an overload of tourists.
In ten minutes walking you are on the ponte vecchio. Also in ten minutes you are on the main railway station.
Just one advice for other guests: close the windows when you expect thunder and rain! It can be heavy!
ciao