I don't think you should feel narcissistic at all. Family is one of the prime places where we share our wisdom and values. Where we pass on the results of our mistakes in the hopes that the next generation avoids them. Don't feel bad for trying to do that, it's one of the fundamental elements of human progress.
A very common trigger for this, as I've asked about this topic to other people with elderly fathers, is becoming a parent. But for me it was leaving home.
Also make room for such conversations. We had a month long vacation, just the two of us, which I remember fondly, even though there was no big event or deep discussion.
Reading the prosaic thoughts of my parents when talking to other adults was like peeking behind the curtain, and it helped me understand them better as people, not just Mom and Dad. I am grateful for it.