Welcome, Sidney! Have a wonderful time with your studies in Budapest. Undoubtedly, you will come to fall in love with it! If you still have questions about finding a place to live, let me know. We found our flat via alberlet.hu/, and there are several Facebook groups that might prove useful, too. Here are a couple of examples:
facebook.com/groups/1469125483396981/
facebook.com/groups/budapestrentals