ShapeKey Copy

Copy Shape Keys allows you to copy the shape keys (with or without animation) from one mesh to another. You can also copy the animation. There's a button to set all the shapkey values to 0 and a section where you can copy the armature animation as long as they are identical

Once installed, the addon will appear in the viewport's tool tab.

Select the sources, select the destination and click the copy button. Same for animation.

Please watch this video for more details: https://youtu.be/pBjBGArJUvA