How to remove these fields from the ‘Profile’ section?

For the contact methods filter: user_contactmethods:

function update_contact_methods( $contactmethods ) {

    unset( $contactmethods['aim'] );
    unset( $contactmethods['jabber'] );
    unset( $contactmethods['yim'] );

    return $contactmethods;

}
add_filter( 'user_contactmethods', 'update_contact_methods' );