If you have a welder, you can also run a bead around the inside of the outer race and the shrink will let them slip out................courtesy of PinHead and others.
If you have a welder you can run a bead around the inside of the race after you pull the cage and bearings out. When it cools it shrinks up a tad, the heat may help loosen it a bit too.
That's a nice looking tool there.
I've never had good luck with those spreading finger types of slide hammers. The fingers usually can't take the hammering and break.