These bikes were originally equipped with ball (roller) bearings, and there's nothing wrong with that approach in this application, but tapered bearings are a definite upgrade and should outlast the OEM bearings.
But how to remove and install the pressed-on lower bearing without the nice factory tools? Well, the old bearing inner race won't drive off, so I use a Dremel with a cut-off blade and very carefully slice the race with a diagonal cut, stopping just shy of cutting into the shaft itself. Right at that magical point the bearing race gives a little bing as it loosens its grip on the shaft — it can then be pried off with a screwdriver blade. In the photo above are (left to right) the new lower seal, the new bearing, the old inner race and the old outer race. I will use the old parts as adaptors to drive the new bearing in place.
Job done. Reassemble onto the frame, install the forks, etc., and this project will be back on its own two feet — with a nice, smooth steering action.