Hey Hey Tiboas,
First of all a warm welcome to Stuttgart ;)
Some of us recently started a club called Kesselbrauer: http://www.kesselbrauer.de/
If you log in to the forum you can also find a Sub-Forum for activities going on in Stuttgart:viewforum.php?f=56
What else can I say ? Ah, maybe for you beer orientation map ;) here is a list of nice pubs & breweies with different beers on tap:
Cast a local micro brewery: http://www.cast-brauerei.com/
Ackermanns a nice pub with weekly changing beers on tab: http://www.ackermanns.de/
Kraftpaule a Pub and Beer shop also organising "craft beer meet ups"http://www.kraftpaule.de/
Riedmüller a Shop n pub mixuphttps://m.facebook.com/ridmueller
A bigger local breweies brewpub:http://www.brauhaus-schoenbuch.de/
Restaurant 87: http://www.87-stuttgart.de/
There are many more but I think this works for the first Start in Stuttgart ;)
If you have any further questions do not hesitate to contact me via PN or post here.
One more thing, we do have a private library here organised by some of us. Just in case you also sold your books ;) have a look into the Stuttgart subforum here as mentioned above.