Moles homes are 5 feet below the surface. What we see are only their feeding tunnels. You are only lucky (like I was once) if you can flood them out to get to them. I use Sweeney's Mole Repellent on one side of my lawn from where they are coming from. Seems to help keep them in my neighbor's yard.
They have a sad lawn with lots of grubs. I keep the grubs under control. I never see mole hills, only long tunnels, though. Are you sure you don't have gophers
@Bonehead??