Forum:Playing order

I know starcraft since the very beginin (I almost grew with it, as a friend got the original Starcraft a month after its release) but I only reciently discovered it has a story and it's not a generic humans vs aliens stuff, mostly thanks to heroes of the sotrm. Now I want to play the saga, and the mentioned friend told me he can get me almost any SC game with any expansion I want as he no longer plays them but...Which one should I pick first to play the storyline? I tryed to google the order, but some sites concider expansions as different games and it makes it hard o understand.

Also, I found a Starcraft 1 with 2005+ graphics, is that a remake or a tottaly different game?