I like the sig 238 best, But if choosing between the LCP and the TCP I would choose the TCP.
They both are very small, light and snappy to shoot. The TCP just felt better to me and less money too w/ two mags. Polished the feed ramp on one and have Never had a FTF FTE or any problems.
The 238 is my favorite though. Only slightly larger and heavier. Love the little 1911 style, surprisingly comfortable to shoot.