you can also choose features from the different channels and compute their relevance for the classification. that way you will have a ranking of each channel contributions
Actually to select the proper channel regarding any task classification, usually the activation localization is foremost duty. To do this, you have to find the relative power spectral density of the EEG signal regarding the task. In addition, effect size and ANOVA test could be a better solution for the activation localization. So far, I know from my research work voluntary movement are controlled by the central lobe of the brain, therefore according to the previous recommendation of Faraz Akram C3 and C4 are the best choice. But if you consider the motor imagery movement, you can also put your concentration to the frontal lobe F3 and F4 as well for the left and right hand movement classification.