As far as range ammo, I use whatever I can find. My LCP was a pre-recall model but I've never had either a FTF or a FTE with mine before or after the recall work. My LCP will fire any thing that I've put through it.
Good luck with your LCP. It's a lot of fun to shoot but you'll be surprised by the amount of recoil that little gun has.
As a suggestion, I wouldn't buy any extra finger grip extension mags until I fired the gun. I've got big hands and shooting the LCP with the finger extension mag isn't very comfortable and actually prevents me from getting a good grip on the gun. For range time, I only use the regular mags but do find that the extension mags are easier to grab out of a pocket as a reload when carrying concealed.