Cambridge S.O.F.A. (the charity that passes furniture from those that have to those that haven't) on 576535 (they are now at 347 Cherry Hinton Rd) might like to take it off you (they do collect).
Also, the Salvation Army in Mill Road will collect furniture free and sell it to help their cause. (I got most of the furniture in my flat from there). And Emmaus near Landbeach. Probably also Oxfam in Burleigh Street.
Or you could use Fridge Mountain to offer your unwanted furniture (or anything else!) to people in and around Cambridge.
Oxfam will also take surplus (working) electrical stuff as they have a tame electrician to pass it through the safety regulations.