I will add that the advice I got (often and with much emphasis) is that your bike/horse/skateboard/etc. WILL go where your nose is pointing.
One other thing. Turning, like everything else, yields to practice. Go to an empty parking lot and ride tight circles around the light poles, and whatever else you find there. Find out where your tolerances are, then push them. Then speed up. (/violin teacher)
Give big space to the festive dog that make sport in the roadway. Avoid entanglement with your wheel spoke.
(Sign in Japan)