Overall it was a very very good experience.
Location of the house is perfect; quite place, literally just next to the Accademia; few minutes walk to Duomo, San Lorenzo, Mercato Centrale(very helpful if you are going to eat/cook at home). All city center attractions are easy to reach on foot including Palazzo Pitti in Oltrarno(even with a baby). You can walk from the train station; but if you prefer to take a taxi, it only takes few minutes to the reach the apartment.
The apartment is very good, comfortable, nicely furbished; it has all utilities. Both of the rooms have very comfortable beds and are very quite; one of the rooms has a normal size(it is linked to the living room), the other with plenty of place. Bathroom is very nice and easy to use. We were suspicious about the kitchen, as it is placed in kind of a cupboard in the living room; it was perfect.
By the way we stayed there as two families and a baby; and we had cooked and mostly ate at home; it was very comfortable for all of us.
One point to mention, air conditions are used to heat the place; we thought it might be a problem to heat to place and might be problem for allergic people like us but we could easily heat the place and most probably due to the high ceiling, it did not cause so much allergic problems.
Second point; we generally find some of the basics like salt, pepper etc. in the apartments we rent but this apartment did not have any.
Cristina was a perfect host; it was very easy to communicate with her; she was fast in her responses; she was there at the right time (even before) for check in and check out; she was helpful when we met giving basic information; she also arranged a taxi for check out.
In a nutshell; "highly recommended" :)