TexturePacker is just a tool for packing several images into one big image, so you can benefit from rendering from the same texture, which translates to less draw calls and better performance.
Our TexturePacker exporter generates a xaml file that defines a ResourceDictionary with one ImageBrush for each subimage packed in the big texture, just that. You have to merge that dictionary into your xaml file if you want to use it:
<Grid...>
<Grid.Resources>
<ResourceDictionary>
<ResourceDictionary.MergedDictionaries>
<ResourceDictionary Source="ImageResources.xaml"/>
</ResourceDictionary.MergedDictionaries>
...
</ResourceDictionary>
</Grid.Resources>
...
</Grid>
Then, you can use these ImageBrush resources in your own xaml file to fill a Rectangle and draw one of your images.
This image atlas step is totally optional, because you can directly draw your image using an Image element, or a Rectangle with an ImageBrush.
To create the animation it is better to edit your xaml in Microsoft Expression Blend so you can use the typical animation tool where you can set keyframes, values, easing functions... and play to see the results. Coding the animation manually would require some experience on xaml, but can be done for small animations.