IMDB didn't really have much that didn't sound like what we already knew from the movie. And I never read the comics either so it's just as confusing. I wiki'd it and this shed a tiny bit more light.
"In a lengthy Instagram post from Damon Lindelof while the show was in early production, it was revealed that the Watchmen series will not be a direct adaptation of the original source material, instead, being "remixed"; aiming to tell an entirely new story set in the world where the events of the original storyline took place.[2] The series will also showcase different points of view, with the only characters from the original storyline on the series being Doctor Manhattan, Silk Spectre, Hooded Justice and Ozymandias.[3][4]
So it sounds like they're doing this around the time after superheros get outlawed, so kinda before movie timeline I guess. Here was the overall synopsis I get from both Wiki and IMDB "Watchmen takes place in an alternative, contemporary reality in the United States, in which masked vigilantes became outlawed due to their violent methods. Despite this, some gather around in order to start a revolution while others are out to stop it before it is too late, as a greater question rises above them all; who watches the Watchmen?"