You can book a taxi via following methods:
Online: http://www.britishairportlinks.com/
Telephone: +44 207 183 4822
Email: bookings@dreamcarservice.co.uk
Yes, it's possible to pre-book a taxi with British Airport Links, please contact the company.
British Airport Links has both regular and air-conditioned taxis, please mention your preference at the time of booking.
Please contact the company on their helpline number to make any changes.
Generally drivers will meet the passengers at the arrivals on airport pick ups but do check with the company.