Best mole killer and safest for the dogs is Tomcat jelly worms. Looks just like a bass bait. Carefully open the top of a tunnel and slip the worm in with a long pair of needle nose pliers or hemostats. Cover up without collapsing the tunnel too much and repeat like 20 ft apart around the yard. They find it and carry it back to the nest for family dinner. Do a good job and you'll not see them around for several years. Available at HD or Lowes.
Tomcat Mole || Kill, Capture, and Repel Moles
Don't let the dogs see you doing this!!!