We really liked this Airbnb! Its nearby the station and a good place for sightseeing. In the Airbnb is everything you need. The terrace is the best part of it! We did a Free walking tour at GuruWalk thats a nice way to learn more about Florence. For restaurants we recommend: La Ghiotta (good price, where the locals eat, pasta, meat and pizza)
Friggitoria (on via dei ceri, nice snacks for a good price, try the mixed one)
Mercato Centrale (foodhall)
MayDay Club (for cocktails, really friendly staff by choosing a cocktail, good price and you get some snacks and water for free)