Adding custom classes to Views Filters (view-filters) and Content (div.view-contents)
Views provides a lot of .tpl files for doing just this. They are found in the /theme folder of the views module folder. The one you want is views-view.tpl.php

Simply copy views-view.tpl.php into your theme's templates folder and edit ~ line 43 to include your bootstrap classes and whatever other markup you require ;)