I run a 5/8" NC tap through the bushing, then run a 5/8" bolt in it and the bushing comes right out - no grease, no mess.
When you get a replacement, take a magnet with you and make sure the new bushing isn't attracted to the magnet; there are lots of cheap Chinese bushings out there that have lots of iron in them instead of being 100% Oilite bronze. The case-hardening on the input shaft doesn't get along with any iron in the bushing.