LCR is the way to go
I don't own an LCP, but I do own a Kel-Tec P3AT, an LCR and several S&W J frame revolvers.
For the majority of the time I now pocket carry the LCR--it has replaced my S&W J frames (342, 442, 640, 642, & 940) as my primary CCW handgun.
For the very few times when it is...