Welcome aboard. The Sig P238 is the only pistol of which I own two of the same model. My wife got hers first, as a primary carry pistol. I have a G26 for every day, but I drooled over her little Sig so much that she made sure Santa got me one last Christmas. It is my "dress gun" for when the G26 is difficult to conceal or carry.
We have found the P238 to be very comfortable to shoot, much more so than similarly sized polymer .380s I have tried. Accuracy approaches amazing for a pistol of that size. The trigger is short and crisp, though not as light as a good 1911; I am not sure I would want it to be that light without the grip safety, and considering that it is often carried in a pocket (me) and occasionally in a purse (my wife). Really good sights are standard.
It is often said that it is 1911 in miniature. That is true as far as being a single action pistol with a frame mounted safety, intended to be carried cocked and locked. That is about as far as it goes, though. As mentioned, there is no grip safety, nor is there a barrel bushing, so take down is different - simpler in some respects, reminding me of a Beretta 1934 among others. The trigger is hinged rather than sliding back like a 1911.
Overall, a little jewel of a handgun, in my opinion. The differences between models are mostly cosmetic, except that those with "HD" in the model name have a steel frame. All the others are steel slides on aluminum alloy frames.
It isn't the cheapest of the pocket guns, but it is a one-time expense, and we are very pleased.
The 938 is very similar, a little bit bigger because of the bigger round. It handles nice, but I haven't shot one. Folks who have say the recoil is noticeably greater than the 238 but quite manageable. It is hard to find bad comments about them, too. A recent discussion on here made me realize that the 938 is, oddly enough, not offered with a steel frame.