If you wish to purchase housing, a realtor can provide you with information on purchasing houses and apartments. The prices vary greatly, especially in relation to location. In Denmark it is normal that buyers take out a housing loan from a mortgage credit institution.
Please note that you must pay tax on the value of your property. You can read about taxation when buying a house on the taxation pages.
Work in Denmark has good advices and links if you want to buy a house or an apartment.
The following companies are good starting points for your search into purchasing property in Aarhus: