Looking for room to rent in CPH, price range 3000-4000 DKK

Hello all,

I will start an Erasmus year in CPH (at the Copenhaguen Business School) on the 22th of August and I need a room to stay.

I would rent for the first semester (that is, until December), maybe for the whole year (until May 2012) if the room fits me well.

I need a room :
- in zone 1 or 2 (Frederiksberg or Norrebro would be just perfect)
- furnished with bed, desk, chair, wardrobe and shelves
- with access to a bathroom and a kitchen
- close to public transport
- within 3000-4000 DKK price range

About me : I am a twenty-years-old french girl, very clean and tidy (I am allergic to dust :p), friendly but also needing time on my own. I would prefer to share an appartment or a house with a woman rather than a man, but I can do with the second option.

Having a room in a family's home is fine as well, I can babysit children or help them with homework.

The only thing I am a bit difficult with : cleanliness and tidiness in common rooms. The rest, I can live with