I have both and think they fill similar, but slightly different rolls. The S&W has a little more power with +P ammo and is great for the casual low risk environment that you sort of described.
The LCP holds more rounds and with +P is adequate at best, but is also highly concealable. I find I can usually conceal the LCP in almost any situation.
If I had to decide on just one it would be difficult. Honestly I carry the J-frame more, but the LCP can be carried in situations where the J-Frame can’t. So, at the end of the day I would pick the one that has the most flexibility for me – the LCP.
A major source of objection to a free economy is precisely that it ... gives people what they want instead of what a particular group thinks they ought to want. Underlying most arguments against the free market is a lack of belief in freedom itself.
- Milton Friedman