I can remember my Dad getting me up to watch the moon landings. Also I can remember sitting in the school hall with all of the school watching the space programmes as the story happened.
The BBC have put up a short clip of James Burke describing the event – I always liked his programmes, and I have still have some of his books, videos and audiobooks.
Apollo 11: Few indoor loos, but there was a man on the Moon
Updated
Photo by Andrea Mann from London, United Kingdom – FlickrUploaded by Hohum, CC BY 2.0, https://commons.wikimedia.org/w/index.php?curid=15351516