Moles, no matter how cute, can be a real pain in the grass.
So, how to get rid.
If you can find their run then try inserting mothballs into it. They hate the smell.
Children's windmills. Stick them in the grass; moles dislike the vibrations.
The same can achieved with empty beer bottles. Bury them in the lawn up to their necks. The vibrations are caused by wind rushing over the top.
Any other ideas?