For the better quality, I would very heavily consider the Sig Sauer P238 if I were you. It used to have a lot of problems when it was first released, but now I don't hear any more problems about the little gun (Sig has fixed the issues slowly since its initial release). If you look up reviews, forum posts, et cetera about the pistol, make sure to always check the date the article was posted. Almost any recent article shows the gun is clear of any remaining problems. It is a lot nicer to shoot than most of the other small .380 ACP pistols (including the Kel-Tec or Ruger).
If money is a big issue (the P238 isn't a ton of money, but more than some of the others), then you are making the right choice with the Kel-Tec. But it definitely won't be as comfortable to shoot for long periods of time; some might tell you that this isn't a big problem, because it's not intended to be a range gun. HOWEVER, if you plan to use this gun as a CCW, then you want to get as comfortable and confident with it as you possibly can. This includes being able to shoot it often at the range to really become proficient with the weapon, as well as being able to put a good amount of self-defense rounds through it (so you know that it is reliable with whatever brand you choose).
The P238 is a different action then most of the other pocket .380 ACPs. Instead of the favored double-action only pistols, it acts like a 1911-style pistol by being single-action only; meaning the best way to carry is condition 1 (cocked-and-locked). Make sure to check the date of the gun you buy to insure that it is made sometimes after May or June of 2010. Then you'll likely be problem-free with this great pistol.
