What?
Construction and demolition (C&D) waste generally consists of rubble, bricks, soil and stone, tiles and even old sanitary ware.
Where?
This can go into a skip and should not be placed in household bins.
Alternatively, check the waste services locator on this site to see if your nearby Civic Amenities accept what you have.
General Comment / Tip
If some of the materials are still in good condition, see if you can donate them for further use or upcycle them yourself.