As a tourist, staying in the 1st district between the rivers Rhone and Seine is ideal as you can walk to the other sides of both rivers easily via bridges. The old town on Seine side and Parc d Or and nicer restaurants on the Rhone side. The location was perfect. Its good for maximum 2 people as it is a small apartment.
Just be mindful as there are bars and restaurants right under you, so even though you are on the 5th floor (American 6th) the noise carries at night. And yes there are no elevators, so one has to walk up. Which worked out fine since we were enjoying Lyonnaise food and wine scene thoroughly.
Lyon is a must for food and wine enthusiasts.