Personally, I prefer to use FMJ when I carry a .380 for defense. Why?
I think that in terms of ammo performance, penetration is key - whereas reliable function is a given and expansion is a plus but not necessary. If a cartridge does not penetrate 12 inches in ballistic gelatin, I don't trust it to penetrate deep enough to reach vitals in a non-optimal shot (through an arm before it reaches the torso, or sideways through the torso - anything but an unobstructed frontal shot). Expansion is great, but not at the cost of penetration. You can get a .45 to expand to 1.0 inch and still penetrate 12 inches. You can get a 9mm +P to expand to 0.65 inch and still penetrate 12 inches. You can get a .38 special +P to expand to 0.50 inch and still penetrate 12 inches. You cannot get a .380 to expand at all and still penetrate 12 inches.
If you still want expansion, you could carry JHP alternating with FMJ. If you've got two shots in the center of mass, you've got all your bases covered - but how many shootings have you heard of when the good guy got two shots COM?