I don't have any experience with Korean, but for Chinese there are also a multitude of input methods. The majority of them seem to be targeted at special keyboards. If I were you I'd go for the one based on Romanized Hangul notation, which I assume is one of the Romaja ones (I have no idea what the difference is between the two). That way you just type the pronunciation of what you want to input, as opposed to decyphering some layout for a keyboard you don't have.