Originally Posted by
Kgmm77
Alternatively, just walk the 20 feet across the platform at Barons Court to get onto a District Line train that will get you closer and likely have more room.
Second this. If going to Charing Cross, a cross-platform change at either Hammersmith or Barons Court (no steps) to the larger and more spacious District line trains, and you'll wind up at Embankment, which is only a flight of stairs up to street level.
Though that also depends on how much luggage you have, and how comfortable you are lugging it up a set of stairs. Then Leicester Square on the Piccadilly line (no lifts, but escalators) or an uber might be better.