Blu, we used
Mortimers Removals Ltd
36 Eastbrook Road, Blackheath, London SE3 8BT
This was six years ago. They looked like the cast of Pirates of the Caribbean (minus Orlando Bloom) but were friendly, professional and not snooty about moving shedloads of books.
Absolutely nothing got broken.
As befits their somewhat low-tech approach they don't seem to have a web address...
My SIL was messed around royally by her vendor the year before that and Whitewoods of Eltham were real stars about that, finding her a revised slot with less than a week's notice.
God he owes you a big drink and a weekend pass-out at the very least for this