Like others have said, don't go tapping the axle with any kind of blows.
The NDS cup should come off with a little piece of wood on the edge of the cup and some taps on alternate sides with a small hammer. Simply holding the BB in your hand at the DS cup should be enough to secure it.
The DS cup is a different matter. The press-fit is a much tighter tolerance fit, and using a piece of wood and hammer generally doesn't work. My method:
- Screw the BB in the shell, only the DS first, hand tight is good enough.
- Screw in the NDS cup, again hand tight is good enough.
- Lock the cup remover tool into the NDS cup with several washers and a crank bolt. The washer external diameter must be enough to cover the cup remover tool, and the internal diameter enough to let the axle through. A lot will depend on your BB remover.
- Gently unscrew the NDS cup. "Et Voila" the whole assembly will gently separate from the DS with no hitting.
You may need to fiddle with spacers and washers and/or play around with how much the cups are in the frame so nothing bottoms out. Good luck.