if you go a bit early, leave at junction 5 langley, take the A4 towards heathrow, and there are lots of places to park + a mcdonalds about a mile from the airport entrance (t1 and 3) so you can get a coffee and hopefully not pay too much in parking charges at heathrow. if you have a smartphone you can check if the flight has landed and then go in, but terminals 1,1a and 3 are central area, 4 southside, 5 westside, all have different approach roads and it is a long way to drive if you are late. My advice , go early and wait close by outside till about 15 mins after the arrival time, then you will have ample time to get in and park. (thats what i do when I am collecting She who must be obeyed)
Good luck!
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