If ya gotta carry something that size or nothing at all, then the LCP is an extremely sensible choice. It's reliable, and the price is right.
A suggestion: since the sights kinda suck, get the Crimson Trace LaserGuard sight for it.
More a mandate (self-imposed, of course, since I can't impose mandates on ya): PRACTICE LIKE HELL WITH IT, CAUSE GUNS IN THAT CONFIGURATION AIN'T EASY TO SHOOT!
(Sorry to shout, but that kinda needs shouting...)