In article , Paul Terry
writes
The most direct tube route is Piccadilly line from Heathrow and change
to the Victoria line at Green Park. The interchange there is all
underground but it is not ideal if you are carrying a lot of luggage.
An alternative would be to transfer to the Northern line at Leicester
Square - but the Northern can get very crowded at some times of day!

A third option would be to change at King's Cross St.Pancras. The
journey will be a bit longer, but the change will be rather simpler - a
short escalator from platform level to platform level.

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Clive D.W. Feather, writing for himself | Home:
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