Clarance House and Kensington Palace?

We will be in London post cruise in July of 4 days.

We plan doing the Royal Day Out (Buckingham Palace, The Mews, Queen's Gallery) one day.

We are also thinking on doing Clarance House and/or Kensington Palace. I know Clarance House is off the The Mall near Buckingham Palace. Is Kensington Palace near by?

Is it worth seeing both Clarance House and Kensington Palace or just one?

I think it would be too much see all in one day?

You can check them on this route map

https://www.bigbustours.com/en/london/london-routes-and-tour-maps/

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Your choice may be moot, because I think Clarence House is only open in August? But some thoughts anyway:

Kensington Palace is the other side of Hyde Park, which is a large urban park. 40 minutes to an hour to walk, depending on where you started from - quicker by bus or tube, but there's no particularly convenient tube route.

Clarence House (note the spelling, by the way [emoji846]) is a fairly short guided tour of a small number of rooms. Kensington Palace is a self-guided tour and you can take longer. There are also the gardens (and indeed Hyde Park itself) to see. Clarence House, as the name suggests, is more of a large townhouse than a palace, although it effectively forms part of St James's Palace.

I believe Kensington Palace is busier than usual at the moment because of the display of Diana's dresses, which is probably attracting people who would not ordinarily have visited. That display goes on through next year.

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Thanks for your answers. We will have August 1, if we decide on Clarence.