A CMG system can aid in creating a self-balancing bicycle by utilizing dual flywheels as mechanical gyroscopes. Understanding the basics of gyroscopes and sensor fusion is crucial, particularly using a 3-axis accelerometer and 2-axis gyro for accurate orientation estimation. The orientation data can be integrated into a control system to maintain balance. Recommended platforms for programming include Arduino, especially for those with limited coding experience. Overall, combining mechanical gyroscopes with electronic sensors can enhance the stability of the bicycle.