In general, animating position is more intuitive — you grab the layer, move it around, a keyframe is set, etc.
For Anchor point you often drag the numbers around in the timeline, or you can use the ‘Y’ tool (I forget its name, the Y key is the shortcut) and hold down Cmd/Ctrl while dragging the anchor point and the layer will move. The key here is that the anchor point remains in the center of the composition. This means that rotations will happen around the center of the composition, and scaling will happen around the center of the composition.
The visual result of all this is it looks more like a camera was panning, rolling, and zooming, instead of the layer itself. So for stuff like maps and photos, where you want to make it seem like the camera’s in charge, anchor-point animation is almost always better….