Shape Key Transfer is a Blender add-on for moving shape keys between objects. It copies all shape keys from a source object to a target in one action, as long as both objects have the same number of polygons. A filter lets you choose which shape keys to include and which to leave out, so the transfer can be limited to specific keys rather than the whole set.
The tool covers Blender versions 3.0 through 5.1 and is distributed under the GPL license. Documentation is included with the add-on, and a demo video is available for reference.
On superhive it has recorded over 100 sales and holds a top rating across a small number of reviews. It was published almost two years ago.