The LX7 and FZ60 are apples and oranges. One is basically a point and shoot with a super zoom that's meant to be decent for scenarios where you want superzoom capability. The LX7, on the other hand, is really aimed at enthusiasts who are looking for a P&S that is capable of taking great pictures, even in low light, but without the zoom capability. Just very different cameras. I do own an LX7, and it's a great camera. Only annoyance I can think of is the lack of an integrated lens cap.
I have an LX7 too, I absolutely love it, and I just ordered the auto lens cap for this camera it is amazing. You should get one too here is the link Works like a charm!