You can use Radio Shacks "Component Cleaner", to remove the grease inside
a bearing. Its a little expensive, at $10 for a small can, but you wont need
much... and the stuff is great for many things.
You simply spray some on top of the bearing... Let it seep inside. After a few
secs, start to spin it slowly with your finger... and gradually go faster. Keep
spinning for about 60 seconds.
Repeat on the other side. Then flip it back over, and repeat each side again.
After 2 rounds, it should have removed the grease well enough to spin
forever. If not... repeat the process a few more times.
It may also be called "Electronics Cleaner". Its a small white can, about 5" tall,
1.5" diameter. Ive tried other such cleaners, and none are as good as the
RS brand. The stuff is crystal clear, eats anything - then evaporates without
leaving a messy residue.
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I will add, that any bearings with more than a tiny bit of rust probably are not
worth trying to save. If the balls or roller surface gets pitted, the bearings
will not roll smoothly. Also, the tolerances are very tight... If they change,
the balls will be too loose, and also cause rolling problems. Not to mention,
its one thing to soften and remove bearing grease from seeping in/out... but
quite another to try to remove large particles without removing the bearing
cover. Trapped particles of rust and steel will result in a bumpy roll, and or will
lock up the bearing at times.