The first volume takes place several months after the events of the last episode of Season 10. Clark and Lois are living together and working as reporters at The Daily Planet. Lex Luthor, who is missing his memory, is also there, running Lexcorp. When he encounters Clark and Lois he knows he should remember them-and has an immediate suspicion of Clark.
Chloe and Arrow are married and she eventually asks him to take a more backseat role to fighting crime because he puts himself in danger. She wants her baby to have a father. Superman starts having trouble with Lois' father, General Lane, who doesn't like Supes one bit.
The best part about these volumes is that they introduce familiar DC characters that never had a chance to appear on the show. There's a "TV version" of the origin of Wonder Woman- of how Steve Trevor, when he was a kid, washed ashore of Paradise Island and was discovered by the young Diana. She keeps him as a secret friend until her mother finds out-and when that happens her mother takes the boy back the United States. She doesn't return. So when she's an adult she teams up Steve and they are agents fighting crime. She doesn't have the classic Wonder Woman costume and behaves a bit differently. The same goes for Bruce Wayne, who has a much more technologically dependent Batman. I found the most interesting character to be the introduction of Green Lantern-who turns out to be Clark. The Lantern seeked out the most capable being on the planet and chose him, so Clark has both powers for a while.
There's also the Legion of Superheroes, Booster Gold and a "Crisis on Infiinite Earths" scenario that's probably the biggest threat any of them have faced.
If you've been episodes of the television show you'll love this continuing series. My only gripe is that as the series progresses Superman/Clark looks less and less like the actor from the show while Luthor remains consistent throughout. These volumes are highly recommended.