Yes, and it’s a nicer place to stay.
The steak in that famous place was very good though, we shared a fillet not the huge florentine one.
The prices of gelato went up and up the closer you got to the centre.
Great food in Freisole a short bus ride away too.
also enjoyed Osteria Antica Mescita San Niccolò
most of good Florence places are south of the river IMO.