Nearly the first thing we did upon returning home from our weekend getaway to Table Rock Lake, after visiting the necessary room of course, was to watch the Day of the Moon via the DVR. Follow this link for a plot synopsis at the relevant Wikipedia article.
The beginning and middle of this episode kept me confused for longer than I like. And the Silents started creeping me out, similar to the Weeping Angels in "Blink" episode, especially when Amy was wondering a deserted orphanage during a night thunderstorm alone. Part of my confusion probably stemmed from the unreliably nature of the narration. Since the characters (including Doctor Who) could not cohesively remember their encounters with the Silents, we experienced what they experienced without much third-person omnipotent viewpoint advantage.
I am not convinced we have seen the last of the Silents, especially if you consider the continuity flashbacks and foreshadowings. I liked the very American response and call to revolution against the Silents that the Doctor engineered and I especially liked the black box at Area 51, but the resolution arrived too quickly for me.
As to the identity of the girl in the astronaut suit, you can find a good discussion ongoing here where I bring up some questions about who the girl might be and who her mother might be, all of which will be answered in Moffat's good time.
Close to four stars, better than three and a half stars (out of five stars) for an episode of Doctor Who. Next week it appears Doctor Who et al. will be playing pirates and chasing mermaids on the high seas in "The Curse of the Black Spot" episode.