Hi,
You would proceed to stabilise the shot as you have done. So a point in the frame remains in the same place constantly and the rest of the image moves within the frame.
Select the stabliser point and go to the timeline in graph mode. Select the X and Y postion keyframes. Select math operations and choose the option, “Remove Jitter”. You will have a value with which you can reduce the shifting or bumpiness by a few pixels or so. You need to experiment with it to achieve a decent result.
Good Luck
Regards
Grant
Discreet UK