Angela M.
Yelp
Disclaimer: I visited the Maison des Canuts in 2003, and there's a lot that could have changed in 8 years.
You can't appreciate the history of Lyon without a visit to the Croix Rousse, the historical heart of the silk industry of the city. The Maison des Canuts may be small, but it's chock full of historical artifacts from the height of the silk working period - Jacquard looms, a ribbon weaving machine, plaques from textile worker unions, demonstrations of how the silk is refined, etc.
They've packed a lot into a small space, so I would try to go with as small a group as possible. They have guided tours, though ours was in French, so I'm not sure how much of it could be done in English. If you've got someone who understands French in the group, it's a great little museum.