you can go for countless hikes around Lyon! We usually go either to the "Monts de Lyonnais" or to the "Monts d'Or"! A good starting base in the "Monts de Lyonnais" is either Yzeron or any other village. We park our car and follow any yellow sign. Unfortunately not many of them are "boucles" = round trips and you have more or less to return the same way you came. We have a particularily pretty hike around Messimy which lasts about 3 hours. We take a picknick and eat it at a perfect picknick table near a small river. Should you be interested in joining us, let me know! We are a bit older with children at university, but still very young at heart! :-)
I don't know if you like bicycle riding, but today we went again on the "Voie Verte" near Cluny and cycled about 30 kms on former railway tracks. http://www.cluny-tourisme.com/index.php?cid=6 (you can also click on English). It's fun because there are absolutely no cars and it is perfectly safe!
Let me know if you have any other questions and of course anybody else from the Lyon region who is interested can join us! The more the merrier!!!!