Just found this out myself a couple of weeks ago...

Fill the hole with some cheap grease and wads of paper towels
until it's full.
Get a long socket and a 3/8" extension piece 12" long.

Take a rubber mallot and pop the extension with the socket into the
pilot bearing. Hydraulic pressure will force the bearing out.
Remarkably easy!
You don't need a socket extension...anything that will fit tight
in the pilot bearing will work. I just used a 10mm long socket that
fit just right.