the only "nice" way of doing it would be to find a small flywheel puller...
but me....I just take the end of my ratchet that I used to take the flywheel nut off with.....and beat the thing until it pops off...just be careful not to hit the block...
Or a plastic hammer if ya have one. But since ya got a new flywheel i wouldn't worry about "hurting" your old one.
Team Tammies Hobbies