The UK AIP section
AD 2-EGLL-1 has pretty much all the info you'll need for hopefully putting this together.
Best of luck, look forward to speaking to you on the radio
WF.
p.s....
Subject to paragraph (iv), Operators of General and Business aviation aircraft may only operate in the peak during any operating season if they obtain permission to do so from the airport operator as well as a slot in advance of each movement also from the airport operator.
In practice, permission to operate in the peak will be deemed to have been granted under the terms of the Traffic Distribution Rule
(copies available from Manager Heathrow Operations Centre, Heathrow Airport Limited), if a slot for each movement in the peak is granted. Operators of General and Business Aviation aircraft, who arrive and depart at any time, may operate the movement provided that the aircraft departs or arrives to the approved slot time. Those who fail to operate to the approved slot time or who operate in the peak without first obtaining permission and a slot from the airport operator, are liable to be prohibited from operating in the peak thereafter, unless the airport operator is satisfied that the movement amounted to an emergency or other circumstances beyond the control of the operator or the commander of the aircraft. This permission will not be given for flights for recreational, charity and record breaking purposes. Light single and twin engined private aircraft will not be permitted to use the airport. Applications for prior permission must be made not more than 10 days and not less than 24 hours before the proposed flight and should be addressed to the Manager, Airport Co-ordination Ltd, by Tel: 020-8564 0613, Fax: 020-8564 0690, availability office hours; or by SITA: LONACXH.
These applications must include the following information:
i Aircraft owner/operator;
ii Aircraft type and registration;
iii Origin and/or destination;
iv ETA and ETD;
v Number of passengers;
vi A handling agent (Airline Operator or Handling Agent based at Heathrow) is a requirement for all flights including general aviation and helicopter movements.