Use winetricks. It will auto-download and install the current version directly from the super-secret download url that Amazon would probably email you.
It will even report on WINE bugs you need to account for.
Although for future reference, the super-secret download url is
http://amzn.com/kindlepcdownload but Amazon got rid of the pages that link to it.
...
Technically speaking, winetricks doesn't download from that redirect url -- it uses the final resolved url. But I file pull requests for winetricks as needed, to update it.