Welcome Mommo! I remember those early days.
Your DD sounds delightful. I remember those early days. It was very hard to talk with other parents and I found this forum a lovely oasis. One thing that I noticed is that I had started downplaying some of my kiddo's accomplishments, just so I didn't feel so awkward. When I realized that I did this in front of him (e.g., yes, he can read, but he still can't jump up on two feet), I stopped. My poor kid, having to hear that I think he isn't all that great. I would suggest, like others have, coming up with some stock phrases. I have said a zillions times, "Yes, he loves to read" or "yes, he loves books" and just left it at that when someone commented.
I wouldn't worry about what other people tell you you should be doing -- you know your kiddo. I say follow her lead as to what she wants to do. Give her opportunities like the zoo and science museum, children's museum, etc.
And feel free to write about all her accomplishments here. It can be hard when the other parents are looking at you like you are bragging. It is normal for a parent to tell everyone about what their kids are doing, but it's harder for parents with advanced kids. I went for the route of finding the few safe friends/relatives to brag to, or bragged here, instead of making things uncomfortable with others who couldn't help comparing their own kids.
ETA: I know a lot of people don't relate to Ruf's
5 Levels of Gifted, but parents of kids who do meet these early milestones can relate to a lot of the information and anecdotes in that book. I for one found it comforting to read stories about kids like mine. I felt less alone.