lodging

I actually spent my semester abroad in Florence in a part-hostel, part-'pensione' (apartment-style student housing) called  Ostello Gallo d'Oro Hostel. Translating to "Hostel of Gold", this charming hostel is run by husband and wife team Massimo and Silvia, who will spoil their guests with homemade Italian cooking for your meals of choice- think pesto lasagna, gnocchi bolognese, and ribollita stew amongst the rest of their lovingly-prepared, classic Italian dishes. 
The hostel is located about two blocks from the bustling  Piazza San Marco, the center where every bus in Florence will pass to make stops throughout the day- this makes for astoundingly easy access to almost anywhere in the city and the nearby suburbs.

Also close to Ostello Gallo D'Oro, in Piazza San Marco, is the site of Michelangelo's original esteemed 'David' sculpture at the  Accademia di belle arti. This gallery features a wide range of art, including some of the most antiquated Italian sculptures to some more modern paintings.

I have to suggest a gelato stop, because not event the smallest amount of time spent in Italy is complete without one:  Le Botteghe Di Leonardo is the perfect spot to indulge in the most authentic, house-made Italian ice cream that is a far cry from the typical touristy knockoffs located more central to the big sites. With rich flavors, like dark chocolate orange and nutella, I promise you won't walk out feeling even the slightest bit unsatisfied. In fact, I'd be surprised if you aren't tempted to make two stops in one day!

I hope this helps!

Gary, check out Hotel Loggia Fiorentina (Via San Gallo 31, 50129 Florence) it is conveniently located, cozy.  their price is around 60 euro per night, shared bathroom. 

Hotel Crocini (Corso Italia 28, Porta al Prato, 50123 Florence) is in a very nice area. They have different room types.

Peterson Bed & Breakfast Florence (Via Guido Monaco 25, Porta al Prato, 50144 Florence) is good. Located next to central station.

Hope this helps.

I stayed in Hotel Paris close to Stazione Firenze Santa Maria Novella and the Duomo. It had good location and cheap price.

The hostel of Piazza Tasso is a good one. I'm not aware of the prices but i can assure you that is a very good place where to spend some time while in florence.

They have a lot of events during the week and you can meet a lot of people.

Check it out http://ostellotassofirenze.it/

We had good luck in all Italy towns and cities by just walking around and asking to see their rooms for rent when you are the sign "Camere" they were very happy to show us and didn't react rudely if we said we would keep looking.  Have a great trip! 

Very cute small apartment two minutes from the Duomo. Check it out http://iluss.it/servi26 ...