You could also try DAGE - I've seen their van locally:

Please help DAGE -
The charity shop is looking for all re-usable furniture, and more.
Please ring 020 8691 8823/020 8691 2849
for collections of donated items and come to DAGE for a bargain at,
71 Deptford High Street, London SE8 4AA
from 9am-3pm Mon to Fri and Sat 9am to 1pm and
311 Evelyn Street, London SE8 5RA from 9am-3pm Mon to Fri.