Two best places are on SR 528 near the cruise ship terminal exit, and on US1 in Titusille.

The Titusville locations are a bit closer (and look fantastic at night), but the on SR 528 has the local ham radio club, and htey have all sorts of good info, as well as a live feed from mission control broadcasting over a loud speaker.

In either event, get there a couple of hours early at least, and be prepared for a long drive through traffic afterwards.

Try looking through Flickr for space shuttle pictures, and see where the person took them.