If you haven't got to far into your site, and are using bootstrap 2, I would advice converting all your classes to fluid layout. This will help you when using the media queries as mentioned above.
If you are REALLY early in development, I would suggest switching to bootstrap 3 as its better equipped to deal with responsive behavior.
Either way, bootstrap 2 has a responsive.css file which has a good set of media queries to get you going.
/* Large desktop */
@media (min-width: 1200px) { ... }
/* Portrait tablet to landscape and desktop */
@media (min-width: 768px) and (max-width: 979px) { ... }
/* Landscape phone to portrait tablet */
@media (max-width: 767px) { ... }
/* Landscape phones and down */
@media (max-width: 480px) { ... }
My advice would be to check re-sizing your browser as well as mobile devices to check your site is holding together ok.