For major updates, you'll have to check the official TNT site, but for mini (non-spoiler) updates, I'm you're guy! Anyhow, shooting is officially finished and the ten episodes of season one are being post-produced "as I write." For those not steeped in production lingo, "post" is an all encompassing term that covers editing, music, FX, dubbing... basically everything that transforms the raw footage from the shoot into glorious episodes of television. I don't think it's a spoiler to note that Falling Skies will have a considerable amount of special FX to create the full "alien invasion" motif...
More news as it develops... and expect something VERY interesting come December...