A motorcycle can serve also serve as a nice thought analogy for this subject. You are riding a motorcycle at say, 25 mph and your left turn is coming up. When you are ready to do the turn you do not turn the handle bars to the left- you turn them to the right a little and lean to the left to start the turn. But that's the wrong direction to turn the handle bars isn't it? You were not wanting to turn right at all. The reason you need to turn right a little bit is, that with some kinetic energy built up in the front wheel as it turns at 25 mph, gyroscopic forces are stronger than some other forces (tire to ground friction) and you need to get the wheel disc oriented into a lean in order to turn the bike. You must manage the gyroscopic forces acting on the front wheel.
By turning the handle bars slightly to the right, you are placing a force at the front side of the front wheel pointing to your right. Per the physics of gyroscopes, a reaction is found at a location 90 degrees behind the spin direction of the wheel and in the opposite direction. So, the reaction serves to tilt the wheel to your left at the top side, which is great because the bike can now be leaned to the left, and the ground arc or tire path necessary to go left at the corner is now available.