I'll throw in here.
I had both, dumped the Bodyguard. Investigate FTF before you buy one, wish I had. Always fired on the second trigger pull though. As long as the Bad Guy is patient, you will be okay.
Some will jump in with ammo types and all kinds of this or that, but the LCP never has failed to fire, not even once. Also wife said the Bodyguard hurt her hand when firing compared to the LCP. Don't know why that would be, but she was adamant.