Very often I have seen, that a bicyclist can balance himself better, while in motion, than he can while at rest(with his legs on the paddles of the bicycle).
Now, I know that objects, say, a disc with uniform mass-distribution, when thrown in space horizontally, rotating about an axis passing through its center, will tend to cover a larger distance than a disc thrown in space, but not undergoing such rotation. This is due to the disc's tendency to conserve its angular momentum.
Does this same reasoning apply to the bicycle scenario?