We enjoyed our stay in Lyon. We have two very young children and it was amazing to be able to get off at the Perrache train station and walk only a few minutes the AirBnB. The apartment as shown in the pictures is near multi-lane street leading up to the train station so is louder in the living room and twin beds room, but very quiet in the master bedroom for our infant and toddler with good metal shutters to blackout the room; would bring white noise with children for the twin bedroom if using.
We had a couple of questions for the host during the stay and she was incredibly responsive even over a holiday weekend and communicates quickly with the apartment concierge who lives on the first floor and can help with almost all needs for the apartment.
Regarding neighborhoods, to sort of hipster trendy experience we were seeking: cute neighborhoods with patisseries, restaurants (bouchons) was much further north from Perrache, closer maybe to Cordeliers. The good news is that being close to Perrache you have access to all metro lines and also the trams (T1 and T2) so could get anywhere quickly. Would definitely recommend the Lyon Zoo in the Parc de la Tête d'Or if traveling with children.