I condensed fifty years worth of 'stuff' down to three suitcases, and that's all I brought. I made one bag the 'obese' one (and paid $30 extra for the 20 pounds extra weight), and also paid for an extra bag (that bit was $80 I think?) . . .
When I arrived, I went to a charity shop and replaced some things (dining room set, rocker, desk), bought a couple of things new (bed, sofa, kitchenware), and that was that. Furniture is just furniture -- to me it's not that important -- but I did bring the 'special' things in my luggage -- everything from Christmas ornaments to the last 7 years tax returns, lace curtains I one bought in Switzerland to my good silverware set . . . I really worked to pare down the clothes and shoes because they aren't expensive to replace (and that's fun anyway!), therefore using most of my luggage space for favourite things and necessities. I also packed my really good down-comforter, my cashmere and mohair winter coat -- those two things alone made it worth the extra bag (they were worth about $600 together).
So, as I said, a bit over $100 for the extra baggage, then replacing furniture when I arrived (spent maybe £700?), and am content with that solution for myself.
I'm sure everyone has different does it differently -- that's what worked for me personally.