After doing some research, I think I’m making this more complicated than it actually is.
User clicks login
User gets redirected or popup (preferable) to allow access to their information.
Twitter API grabs their information
Somehow I store those credentials (username, possibly email and profile image) so the user doesn’t have to accept access every time…or something like that.
Then, just use php to echo out those credentials (minus email).
@traq Thanks for clearing that up. Makes better sense than what I was imagining.