24 year old looking for accommodation near DTU

I'm a student from the United States going for an MSc at DTU this fall. I'm easygoing, quiet, and clean, and really only request no or very little smoking in the room. I'm willing to have roommates in a shared room, but obviously would prefer to have my own space if possible. The 4500 DKK max price isn't necessary rigid, but my ideal price would be more in the 3000-4000 DKK range. I would also like to be in reasonable (>45 minutes) biking range from DTU. Otherwise, I'm a science nerd who also has loves in literature, film, music (both playing and listening), and hiking, and I want to hang out with the new people I meet here. I also spend a lot of time in the gym, so I can be a gym buddy with someone.