Sorry if I am missing something, but I don't see any problems with finding the Kindle for PC app on the co.uk wesbite?
From the Amazon home page, hover over the 'Shop By Department' and from the list of all the various departments it's very easy to go to:
> Kindle > Free Kindle Reading Apps. Then click on the relevant link under either smartphones, computers or tablets and there is the download button for the Kindle App you require?
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