hm
usually you should give them the whole bike

and the cup is not really "adjustable" in the sense you are thinking. The drive side cup is fixed. and the non-drive side is ringed, meaning it is easier to snug up so the bearings spin properly. This has little to do with adjustability in the sense of chainline precision adjusting. The BB is a 109mm spindle fitting English threaded (68) BB shells. If your BB shell is Italian threaded (70), there is an Italian BB option from Sugino.