Log in to your Amazon Fire device, then access the Search function. Type the name of the application and if it pops up in the result list, they're compatible. Additionally, you will have to download the APK files manually and then send them to your Fire device.
Before doing that, enable USB Debugging. Look in the Settings menu under Developers., then install AdbLink. AdbLink allows you to send files from your PC to your Fire device if they're connected to the same network.
