I have the LCP and love it. Have had hundreds of big guns in the last 40 years, tend to not have them if you need them. The LCP is light and small enough you barely know you have it on you.I do not feel undergunned with it at all, I shoot a lot as does my wife with her LCR and within it's range it will do the job. 100% reliable so far and accurate for a little gun. Check the Ruger sites, they are very popular.
I wouldn't say it has the worst trigger, but it does have a long, heavy pull that takes a little to get used to.
If your friend has large hands, he won't be happy with it.
Although I wouldn't want to get hit with one (a .380ACP round), I'd consider it more as a BUG than as a primary carry.
For concealed carry, I'd recommend something more along the lines of a S&W M&P Compact. I have one of those in 357SIG that is a pleasure to carry and shoot. Added to that the fact that you can convert it to shoot .40S&W and 9mm and you have a very versatile platform.
As with all of these sorts of things, the best advice is to go to a range and try one.
I disagree on "worst" trigger....many are worse. It is a handy little gun and with the right "pocket holster" it will not print, becomes almost forgotten in your pocket and will most likely be with you when you need it.
That said, I normally carry a Kahr cw9 as it is a real nine and not a stubby fifty percenter, and sometimes wish I'd got the 40 instead.
Most favorite still is my little third model Det. Spl. even though it is not plus P rated (who knows the difference anyway as I've got some old S&W loads, not plus P that rocket out as fast as some of the new plus stuff).
LCP is not the easiest thing to shoot well, be sure you have the hook thing on the magazine and see what it will feed reliably.
I have a Kel-Tec P3AT. Looks the same and mine has never skipped a beat. I would recommend the Kel-Tec PF9, since it's a full 9mm and it's very compact. The P-11 is a double stack 9mm and still small enough to carry hidden. My P-40 is the same size as the P-11 and it's a 40.