This is usually suggested as coming from the Dutch boedel, “inheritance, household effects; possessions”. But it’s uncertain whether it’s the same word as the one in the whole kit and boodle. Some writers suggest the latter comes from the English buddle, meaning a bundle or bunch (closely connected with bindle, as in the North American bindlestiff for a tramp). As kit here means one’s equipment, to put the two together in the sense of everything that one has, equipment and personal possessions, seems reasonable.