Not read the books nor do I wish to until the entire series is over.
All episodes from Series One here.
http://www.hbo.com/game-of-thrones/index.html
My take on the future although I am probably wrong on all counts..
Neds youngest with the sword, Arya, becomes a fearsome sword fighter who relishes battle and hopefully kills Joffery. Not quite sure about the other daughter, Sansa, as she could go either way with Joffery. Neds son, "the bastard" Jon Snow will fight and defeat the White Walkers and maybe even entice any remaining alive into his army and help his brother Robb in battle against the Lannisters.
Daenerys having somehow survived the funeral for her late husband (Khal) and reappeared with 3 young baby dragons will be seen by her new clan as a living Goddess whilst she will have even more power with the 3 dragons at her side. Plus we'll hopefully get to see more nakedness from her!!
Tyrion hopefully lives and continues his quest of shagging for Imps rights.
Interesting that a lot of this was filmed in Northern Ireland as well as Malta and Morrocco.
http://www.imdb.com/title/tt0944947/