ON YOUR PHONE: Download App Backup & Restore, AndroExplorer, and Dropbox.
ON YOUR KINDLE: Download AndroExplorer and Dropbox. Note that you'll have to allow installation from unknown sources via the More > Device menu.
ON YOUR PHONE: Install all the programs. Open App Backup & Restore, check the Zymurgy App, then click Backup. Once complete, navigate to the folder where the apk was saved in AndroExplorer, long press to bring up the menu, click the share icon, and choose Add to Dropbox.
ON YOUR KINDLE: Install all the programs. Open Dropbox and navigate to the Zymurgy apk. If the app does not install automatically, open AndroExplorer, navigate to SD Card > Downloads, then click on the apk. Everything should be self-explanatory from there.
Let me know if you have questions. I'll try to answer them as many as possible.