24 years old Erasmus+ girl looking for accommodation in Munich

Hello, I am an Erasmus+ girl, I come from Perugia (Italy) and in September I will move to Munich to do some research for my master's dissertation at the Ludwig-Maximilians-Universität. I will stay in Munich for the first Semester and I am looking for a private room (max around 500-550€) not very far from the University. I am interested to the period that goes from the end of September (around the 23rdor 24th) to the end of February. I am a quiet hard-studying girl, but I also love to meet new people and have a good time with them. I smoke, but I don't have any problems in doing so outside. I speak Italian, English, German and Albanian. Please contact me, if you have any offer. Thank you! :)