The Piccadilly line travels to Piccadilly Circus as well, with a walk down Haymarket to Spring Gardens for the Trafalgar hotel. From Embankment walk along Northumberland Avenue rather than Villiers Street.
But there are stairs at all of those stations from train platform to ticket hall and/or ticket hall to street level; if you'd like to make the journey step free you'll need to take the Piccadilly line from LHR to Hyde Park Corner - escalator up to the ticket hall then a ramp up to street level at exit 1.
You may take the number 9 bus to Trafalgar Square for the hotel or a taxi from Hyde Park Corner.
Thank you for the helpful information
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