Ok, I will send you my 6 page report offline.:)) I’ll attach some useful links too.

I can give you an estimate for the budget, if you like. All from my own experience, not to be taken as your holy book.

I also like what Jasmin said here, expect that the black cab is also a rip off, but a must-ride, at least once.

http://www.radisson.com/londonuk_heathrow

http://www.radisson.com/webExtra.do?hotelCode=GBEDWAIR&key=webextra.loca....

Salam