We insured everything, plus extra on our high value - at first we were glad because we moved within a week of that container ship sinking in the Channel. But, here's my word of caution: although our moving company was super careful about numbering each box/item as they loaded them and writing them all on a list, in the chaos of unloading there was no one checking off if each number was there. So, yes, we saw them seal and unseal our shipping container, saw them unload everything, nothing was damaged, but by the time we finished unpacking everything (weeks later) we were missing two valuable framed pictures (which I think were probably boxed together). We couldn't claim for them because we'd signed that everything had arrived. (In addition, we'd put a lot of things straight into storage, i.e. had the moving guys hand them off the van to the storage guys who loaded them away, so we couldn't be 100% sure they were missing until we unloaded that stuff months later when it was REALLY too late.) Who knows where the pictures went - probably were never loaded in the first place - but the whole thing left me very frustrated. Even so, I do think insurance is important for the ship sinking and furniture getting dropped/knocked scenarios.