After purchasing various brands of schrader valve tubes, I've finally found one that does not come apart after only a few rides. Schwalbe are the best!
If you have an old English 3-speed bicycle, then these tubes are a close match to the ones that originally came with many of those bicycles, especially the early ones. They have the threaded metal Schrader stem and the lock nut for that British appearance. Match them with a set of Schwalbe Delta Cruiser tires for a fantastic looking bicycle.