They're pretty stout. They have a "true" DAO mechanism, which means that the hammer is always at rest until a long pull of the trigger drives it rearward before releasing it. This is different than the hybrid-DAO triggers found on most of the small .380 pistols, such as the Ruger LCP (I), Taurus TCP, and the Kel-Tec P3-AT, and the Kel-Tec PF9. A hybrid has a shorter trigger pull, as the hammer is partially-cocked by the action of the slide but, if the hammer is dropped and the gun does not fire, it remains fully at rest and requires a partial slide-rack to try again. Not so with the SCCY. Any pull of the trigger will cycle the hammer.
Personally, I think the SCCY CPX-II would make a good vehicle gun as well as a carry gun. However, if you're a Glock guy, or only used to the trigger on your HP, you'll hate the SCCY's trigger. If you've been around long enough to have been broken in with DA/SA autos and revolvers, you'll be fine with it.
While I find the .380 SCCY intriguing, I don't think it has been released yet; there have been some hangups with its introduction, from what I hear. For now, it's available only in 9mm Luger.
Oh, and get thee to corneredcat.com for more on "picking out a gun for the lady."