For me it was a family outing. We went picnicking at a local park. My dad, brother and I were walking around the park and came across a kiosk selling various goods. The owner had a little B&W TV suspended on a shelf, the 4 of us watched in awe as the LM landed on the moon. What a moment!
But it wasn't until a couple hours later after we arrived back at home that we watched the actual descent of Armstrong/Aldrin down the ladder and onto the surface... Incredibly awesome. Even as a little 9-year old, I knew how historic it was and dreamt of someday of also going into space. Back then, everything I did was about space. I built plastic models of the SM/Capsule circling the LM, I read books and books and watched every space mission, every minute. Even though Armstrong himself doesn't consider himself a hero he was every bit of one to me.
"One small step for (a) man, One giant leap for mankind!"
- Neil Armstrong.
Note: The "a" was said by Armstrong but the mike apparently did not pick it up.