I find myself in a similar position where I need to try and keep abreast of all the happenings (and things tend to get confusing keeping all of it straight in my head).
While Prelude to Civil War and Civil War was happening, Hulk had been sent to Planet Hulk. You should check out the Prelude to Planet Hulk and Planet Hulk trades. Comparatively self-contained and enjoyable story-telling.
Meanwhile, Spider-Man was doing a pretty great run under JMS' direction. I would strongly recommend you reading all those trades (It's at least 50 or more issues). Start from the 'Coming Home' onwards and you should definitely read Brand New Day and One More Day - especially for how divisive the events in One More Day are.
I think the X-men were going thru some kinda Decimation, House Of M related event around that time. I'd recommend checking out the Astonishing X-Men which had Joss Whedon writing it for about 4 trades or so. It's important for the return of a character and even a romance amongst the characters but also cos most fans think it was a lot of fun.
Winter Soldier probably was happening at the same time. It's a rather dark telling of somebody important from Captain America's past and bringing things up to speed till the end of the Civil War saga.
After Civil War, things transition to World War Hulk (which is a more coherent event than Civil War but still quite a bit diffuse as compared to Planet Hulk). The 6-7 tie-in trades to World War Hulk are important since they will setup the characters of Incredible Hercules - which people have already recommended. So - from World War Hulk, you should transition into Incredible Hercules.
And in the broader run, the events from Civil War start leading into the Secret Invasion events. There is a pretty neat tie-in with Incredible Hercules which talks about the Skrull Gods. I quite enjoyed that.
After Secret Invasion, starts Dark Reign and Dark Avengers.
Meanwhile X-men are dealing with the Messiah storylines surrounding a new mutant child (called Hope) born after the Decimation storyline.
After working with Spider-Man, JMS' moved to Thor and Asgard returned back into existence. There's some good stuff there - fans liked Bill as a character. And there's something about seeing Asgard based in Oklahoma that really works.
Meanwhile, you can pick up the Skar - The Son of Hulk storylines and there's another son around. Once you are done with that, you will be ready for the Red Hulk storylines. While fans generally didn't seem to like it, a couple of the trades looked promising to me.
The Dark Reign ended with the Siege event - I think we are still awaiting the trades for that.
I hope this helps somewhat...