Apartment to stay in Copenhagen

We (family of 4 with 2 teenagers) will be in Copenhagen in August. I checked some hotels, but it is very difficult to find the room for 4 people (even with rollaway beds). Reserving 2 rooms becomes too pricy. Anybody knows where we can rent a room for 2 nights in Copenhagen (not far from the center and not too expensive). Any phone numbers, links, etc. would be greatly appreciated.

Thanks in advance for any advice.

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This place has been suggested on the forum - but I haven%26#39;t seen any reviews:

http://houseofcolors.dk/engelsk.html

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Thank you. Iwill check it.