Hi Bill
You certainly can install Lyric Pad 3 on the Amazon Fire HD tablet.
The first step is that you have to install the google play store app on your tablet and then you will be able to install Lyric Pad 3 from the play store.
There are several how to links in google that can give you step by step instructions on installing google play store app on your device.
Here is one.
www.howtogeek.com/232726/how-to-install-the-google-play-store-on-your-amazon-fire-tablet/