P3AT would be the Kel-Tec in .380... a P-32 is in .32 ACP...

a PF9 (9mm) is almost as small, and packs more punch than .380, and has a better trigger than the P3AT- if the LCP trigger bothers you, the Kel-Tecs probably will, too

most pocket DAO pistols will have a long heavy trigger pull- for liability reasons