@lesinutah
In order to get the bearing out, you must first remove the rivets. Many Hoovers (Convertible, Concept, Elite, and apparently even the 913) have bearings held in by plates which are riveted to the housing, and to replace them, I always carefully drill out the rivets. Once the rivets are out, the bearing should just slide out easily. No need for a puller. Then, I replace the rivets with the same size blind rivets. You can get a pack of them and the installer tool for very cheap from Harbor Freight. I think mine was like $6 total. It's a good idea to use washers on the back side of the rivets to keep them from pulling straight through the steel bearing retainer plate when you install them (speaking from experience).
While you have the bearing out, you might as well replace it rather than just clean/grease since this process I have outlined isn't exactly trivial. If you aren't using original Hoover bearings, I highly recommend you make sure that your replacements are C3 grade and EM (Electric Motor) quality bearings, which are suitable for high speed, high temperature use like in a vacuum cleaner motor. The wrong grade of bearing, even if it's the right size, can go bad really quickly (again, speaking from experience, lol).
If you clean/regrease, I recommend CRC Contact Cleaner for the cleaner and Mobil 1 Polyrex EM for the grease. The cleaner can be found at Home Depot and the grease grease is cheap on Amazon and is intended for high speed, high temp applications. In fact, many of the C3/EM bearings come from the factory with this grease already in them.
If you use your blind bearing puller on the bearing without first removing the rivets, you will likely destroy the bearing retainer plate.