The .380 is a poor choice to begin with, it's a weak caliber primarily chambered in very small hard to shoot pocket guns. However if it's you're only choice you're better off with a FMJ ball load. Ft lbs of Energy, hydrostatic shock & temporary stretch cavity are meaningless when dealing with handgun cartridges, liability as it pertains to over penetration is a severely over-hyped boogieman as most shots fired miss the bad guy anyway.
Penetration is the primary performance factor when choosing carry ammunition, your round must be capable of penetrating to the vitals in order to do their job effectively. As bmcgilvray said above, Expansion is not magic.