You can book a taxi via following methods:
Online: http://www.firstclasstaxis.com/
Telephone: +44 150 848 8485
Yes, it's possible to pre-book a taxi with First Class, please contact the company.
First Class 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.