Roberto,
I understand your hesitation and agree a line must be drawn when it comes to sharing tidbits from our personal lives with students. You may want to think of setting up a Twitter account as being analogous to a news feed you may subscribe to through Yahoo or Google. Many professionals in the field leverage Twitter to grow their brand and share ideas with peers and interested consumers of their products and services. As an educator, this is something you do each time you step into a classroom. Sending out little chunks of knowledge between class sessions is a great way to keep students actively engaged outside of the classroom. Doing what you feel most comfortable with is key to incorporating new teaching and learning techniques.
Wishing you continued success in the classroom.
Theresa Schmitt