the reason i ask about your surroundings is it might be hard to remove them for good with having fields or neighborers that don't care and let there yards become breeding grounds. As mentioned above you will want to treat your yard for grubs, this will keep them from wanting to come back. The type of trap you might try since you have mostly tunnels is Mole Eliminator mole traps moletraps

I have every type of trap and they all work and have there place but this one i really like , its very easy to set, its safe and it isn't set till you put it on the ground , also when its triggered and you pull it up and you'll know if you got one , the Harpoon type ones you never know unless you dig up the area. Also as mentioned stomp down all your mole runs and wait till you see what ones are active , then set traps there

happy hunting