La Gabbia del Grillo 2 was perfect for our stay in Florence. We only stayed two nights and wished we'd stayed longer because it was such a nice place.
You get the entire apartment to yourself with everything you need, even kitchen basics like oil, salt, pepper, instant coffee, sugar, etc which is so nice when you're backpacking like we are and can't carry those things around with you!
The Internet is very poor and almost unusable, but we were able to let our family know we arrived safely and check our emails. Just don't count on being able to surf the web if that's what you need. It was fine for us.
The location is the best! The dome if the cathedral hovers over the apartment roof and it is a gorgeous view. The cathedral is only a 5 minute walk (just around the corner) and the Ponte de Vecchio about 15 mins away.
Alain and Irene were very friendly and cool people, always around to answer questions or have a chat.. They'd even made their own map complete with landmarks for points of interest, restaurants, bars, gelaterias, post offices, banks, hospitals, everything you might need to know on one convenient piece of paper! We tried out 4 of the places recommended on their lists and we enjoyed all of them.
All in all, great place and highly recommended.