I have to echo the words of other Yelpers when I say that I cannot stress enough how unique and authentic this place is for Firenze. Move On is an oasis in the sea that can be the city, especially since it's located in a touristy area. Located across from the cathedral and piazza del duomo, Move On is a restaurant or record store, or both depending on your needs.
The downstairs and entrance hosts the restaurant and bar section. Think of the restaurant as an Italian version of a gastropub. Featured food includes pasta dishes, gourmet burgers, antipasti, sandwiches, and sides like their fried polenta sticks. The full bar includes some really good wines, spirits, and an impressive selection of Italian craft beers on tap and bottled beer. Beer can be ordered in three different sizes for the budget conscious. They also serve coffee and numerous desserts. For dinner I tried their ricotta and spinach stuffed ravioli. Each bite was delightful, the pasta pillowy, and the sauce a great finish on your palate. An entire basket of bread was complementary with my meal. I washed it down with a Christmas beer on tap, which was done in a dobblebock style. The beer isn't the cheapest (€7.50 a pint, €10 a litre), which is not uncommon for the immediate area. My wife had eaten earlier, so she went with the Tiramisu, which was definitely a favorite for her. Our waiter was very friendly, attentive, and gave us a Move On wristband after we paid our bill. The restaurant is decorated with shadowbox/window displays full of music merchandise and memorabilia. A DJ upstairs plays a variety of music piped down into the pub. During our visit, the Sharon Jones Ans the Dap Kings Christmas album was playing.
This is a great segue into the next part of Move On, the record store. To reach the store, one must exit the back of the restaurant and climb one flight of stairs. Along the way, rock posters line the hallway and staircase. The record store itself is very well done. There is a diverse selection of brand new vinyl, set at very expensive prices typical of Europe. If you are a vinyl fan, come here for the used section, which has a ton of rare and 1st pressing copies of music from the 60's, 70's, and 80's at very reasonable prices. The biggest problem you'll find is choosing an LP to buy from the sizable selection.
If you like great food, great beer, and great music, you'll be hard pressed to find other shop like this that so expertly caters to multiple interests.