LDS Tech has published an article that explains how to get the LDS mobile applications onto a Kindle Fire, Nook Color, Nook Tablet, or a generic Android tablet.

The Android applications will work on these devices, but it takes a few steps to get them loaded, since they are only available in the Google Android Market and these devices can’t access the market place directly.

Until the Church is able to distribute the applications through alternative markets, you can install them through a process called Sideloading. The article “Android sideloading” explains how to do this.