I enjoyed my stay at Felix d’ort. It is an adorable b&b close-ish to the main gare in Lyon. I was able to walk to and from the station with a heavy rolling bag.
The room was clean and had its own bathroom. I slept 14 hours so I think that says something about how quiet/safe it felt to me since I was traveling alone. It got a bit chilly at night but I just added on some layers and slept fine.
Highly recommend if you prefer a b&b experience to a hotel!