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The tube journey is from Heathrow to the other end of the Picaddilly line - estimate from the guy whose house I am going two is one and a half to two hours, I'm just taking the high end of that because [censored] always goes wrong for me.
I'm off to get a frosty and a slice of pizza - breakfast of champions. Then I'm going to start calling numbers.
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1.5 hours is more than generous... and the Piccadilly is about the most reliable line with trains every 2-3 minutes.
Maps, journey planner etc.