Exchange student looking a room in Copenhagen

Hello, my name is Alexandra, I am 24 years old and come from Greece. I am a master student in Hamburg and I will come on 1st September in Denmark for my semester abroad in DTU, Lyngby. I am looking for a room for four months close to DTU or close to Copenhagen but to be easy accessible from DTU. I have already experience from shared apartment and I like it very much. I am social and cooperative person, who loves books, music and movies. I speak English, Greek and German ( middle level). Generally, I am not so many hours at home, but it would be nice if I can spend some time together. It is my first time in Denmark, so any tip or advice is really welcome. :) P.S the phone is Italian number and the code of country is +39.