Because your child is the center of your life, it's only natural that you're fascinated by everything that they do. Every day there's a new first, and it's the most exciting thing that's ever happened to you or them. You find yourself keeping records and making mental notes to tell everybody how smart and clever your child is growing up to be.
There can be such a thing as 'too much' though. It's important to keep in mind that not everyone finds your baby as fascinating as you do - especially people who don't have children of their own, and therefore don't have a frame of reference. Don't overload your friends with baby stories on the rare occasions you're able to see them - and don't forget to ask them how their own baby-free lives are going, too!