Trap them with a Victor Outa Sight mole trap. It is very humane. It kills them almost instantly. They can be purchased for under $12.00.
The primary food of moles is earthworms. They also eat grubs, but mostly earthworms.
As posted by others, The Molman is THE authority. Check out his site.
http://www.themoleman.com/
I live on about 1 acre of land. In the last three years I have killed over 100. This year, I have not yet seen any activity, but I know they are out there, planning! /forums/images/graemlins/tongue.gif
Think of the moles tunnels as roads. There are main highways and smaller county roads as well as lots of culdesacs. They use the main highways to get back and forth to the feeding areas. These are the best tunnels to trap. Stomp your heel across the tunnels and mark them with a stick(I've purchased those little wire markers with flags). Do this about every 10-20 feet along the tunnels. Then check the heel marks twice a day. If you see your marks get pushed back up, set the trap right there. While the traps are set, continue to monitor your other heel marks and make new ones as needed. The reason I do this is by checking the heel marks and the direction the mole was traveling when it gets caught in the trap, you can tell which direction the moles are coming from and sometime locate a deeper tunnel that cannot be seen on the surface. By doing this, I found real quick that my neighbor that claims he has no moles is one of my primary sources of mole entrance. He is one of those folks that rolls his lawn so much that his topsoil is rock hard and he cuts his grass to about 1 inch high. The moles never surface there, so he thinks he doesn't have them. But 90 percent of the moles I killed were traveling under his fence into my yard. /forums/images/graemlins/mad.gif
Anywho, eliminate them from your yard and then set up a perimeter defense strategy to keep them out.
On the bright side, Monday I went home for lunch and saw a yet to be identified raptor sitting in my front yard holding a grey furry animal in it's talons. I hope it was a mole! /forums/images/graemlins/grin.gif