Hi Terry,
You don't need to use a third party website, you can just download the app from our BridgePal website at this link -
https://mirgo2.co.uk/bridgepal/index.php?section=23. Use Version 1.5.5 (the first button on the page). You can either download it directly to the tablet via the tablet browser (which of course requires an internet connection), or you can copy it to device memory from the PC via a usb cable. In either case you will need to install it by tapping on the filename in the device's file manager (if you use the usb method), or by tapping on the download notification in the status bar (if you download via the browser). In either case you will get a prompt telling you that you need to enable "allow installation from unknown sources" in order to do this operation, and it will probably take you to the device settings screen in order to do this.
The above applies to earlier versions of the Fire tablet, but as it happens we are getting one of the new 9th generation 7" Fire tablets today, so we should be able to confirm later today that this procedure works.
fyi - I seem to remember TonyF posted some instructions somewhere on the forum for setting up the Fire tablet for BridgePal use. If you can't find them perhaps you could email TonyF directly via the forum.
John