Cost to move furniture to USA seems a lot higher!

[NNH]

We're bracing ourselves for our third transatlantic move in the autumn, and I'm surprised how expensive it's become! So far as I recall, the last 2 moves cost around £3000 from Nottingham to Los Angeles in 2003, and around $4500 from Delaware to London in 2010. In each case, it was for half a 40-foot container to fit 2 x sofa, 2 x bed, and lots of bits'n'bobs.

This time round, Brittania are quoting £6300 for London to LA for the same load, which is a bit startling! Has anybody got any recent experience or recommendations?