When I did a resto on my Mondia, I removed the cups by inserting a long shafted screwdriver INSIDE the head tube, and tapping them out from the internal bottom edges. Almost impossible to damage them that way.

I re-installed the cups by setting them in place, and then using a threaded rod with large fender washers and nuts on both ends. Just stick the rod through the cups/headtube, place washers and nuts on both ends, and start snugging them up. Take it slow and they'll go right in without damage or marring.

Works great.