I stayed at Lyriane's for 2 weeks and I can recommend it! The apartment has a very good location close to Croix-Rousse, Vieux-Lyon and generally the Presqu'île and a good metro connection at Hotel de Ville to get everywhere else. Lyriane was a very kind and attentive host, she sent me a lot of recommendations for visiting, restaurants, groceries etc. and she was fun to talk to :)
You do hear the noise from the street on weekend nights but otherwise it's rather calm. There's also a very cute cat named Sibylle!