May 20, 2017 - 5:32 AM
in reply to Paula
Hi Paula, and welcome to MySwissAlps!
Yes, Basel SBB (not Basel Bad), Zürich Hauptbahnhof (main station), Geneva Cornavin (and many others) have luggage storage facilities. You can find more information here:
After searching for a particular station, expand the section "Equipment and mobility at the station" for the details.