Hi, and welcome to the forum.

I'm located a bit north of you - in the Paris area - so can't really help with the specifics of Lyon. However, I would encourage you to contact one of the AVF groups in Lyon - the website for the national association is here: AVF -- Accueil

AVF is a French association dedicated to welcoming newcomers to town. They have at least a dozen groups in Lyon, and they run activities and other functions to help you get involved in local life. They should be able to give you some information about the various sections of town, and a few AVF groups do have job hunting help - but at least the contacts should help in that regard.
Cheers,
Bev