I will try and supply you with a decent history of each. As always let me know of errors or inconsistensies by emailing me. However, after the end of the emperor's reign and the cultural revolution, much was lost to the Chinese practitioners as they were put second to medicine of the West. A TCM style treatment usually involves heavy manipulation of the needles and strong sensations of qi. It is said that the Japanese practice a truer form of medicine than the Chinese since the cultural revolution had little influence on their medicine.
Many different schools exist, some that even only use moxa to treat.
They also seem to concentrate much more on root treatment than local. Some say that the subtleties extend to outcome and that they are no less pronounced but sometimes slower and less dramatic. As few teach Korean styles of acupuncture I have little information on them. The little I know comes in the form of Korean Hand Therapy, a recent invention of the twentieth century. Two schools of thought exist here.