After doing the same removal, I've had good luck installing a new bearing using heat & cold.
Clean up the post so there are NO nicks or dings, and hit it with a scotchbrite wheel. Once it's wiped clean, put a THIN wee bit of neversieze on the post, and put in a plastic baggie in the freezer for a day.
Check your new bearing. If it's got a plastic roller reatainer, you can't heat it up. The bearing should have a metal roller cage, then you can heat it to about 250 degrees F in an oven for about 20 mins, then it just slides onto the post. The neversieze keeps it from cocking and sticking as you slide it on.
I used the same proceedure to insatall a new stem post in the triple clamp as well.
Wipe it all up, and fill the bearing with your favorite high presure grease. Easy, and good for another season (or two).
Now removing and replacing races in the frame tube, that's another story. A new bearing should have it's matching, new race as well.