Does anyone know of a fair price for a lodging in Copenhagen, for July?
Copenhagen is generally expensive for lodging. So if price is a main factor, try this newly opened budget hotel "Wake Up Copenhagen". It is a decent place, close to the Main Railway Station and Tivoli Gardens with a very simple, but modern interior. Again, it is not luxury, but serves a very good cause for the low price paid: https://www.wakeupcopenhagen.com/
I got a really good price in Copenhagen for this summer by using airbnb.com (you could try couchsurfing.org also - I have not tried them). I have a friend from Germany that used these sources for many years with good success.
FYI... I am in a prime location (walking distance to train, Tivioli, etc) for under $100/night for two.