hello angel-cake,
When we moved to here, the previous owners left us a load of junk (kitchen door, drawers, planks of manky wood, old rotting shelves, 2 cabinets and various materials, like old towels, blankets and covers. It cost us �55 to get it cleared, which we were unable to do until fairly recently. All this was left in the garage, and like kazza says moving is a very stressful time, and one has more important issues to have to deal with someone elses junk!
If the furniture is in reasonable nick, you could try local charities/homes for the elderly, which might appreciate them.