Some call it an invisibility cloak, some call it a French horn case. In any case, this shower cap style cover will stay mounted on the mainframe of the bike until the bike is folded. Then you can cover over the bike, revealing the handle for the bike. This, of course, will not only keep you guarded from the suspicious eyes of building guards, bus drivers, and the like, but will also keep chain grease from getting on you, others around you, your carpet, the new upolstery on the bus, and-- you get the idea. If you still want to wheel the bike around by its front wheel, make sure you have the front rack. It's designed to keep the bag from getting swallowed up by the wheel.