29 year old female looking for a place to live ideally around Østerbro, Nørrebro, or Århusgade Syd

Hi everyone,
My name is Cristina, I’m 29 years old and from Spain. I have a Bachelor's degree in Physics, a Master’s in Meteorology and Geophysics, and I completed my PhD last year. Recently, I was offered a 3-year postdoctoral position at the Danish Meteorological Institute, starting on November 1st.
I’ll be arriving in Copenhagen on October 30th and am currently looking for a room in a shared apartment with the possibility of a CPR for the first three months (until the end of January) while I search for more permanent accommodation. My budget is between 4000-6000 DKK/month, ideally around Østerbro, Nørrebro, or Århusgade Syd, though I’m open to other areas.
I’m a responsible, sociable, and clean person. In my free time, I enjoy traveling and learning about different cultures. If you have a room available during this period, please feel free to contact me.