Dillas' under the shed

Alright OT Baws I need your help. I have 3 Armadillos that have continued to dig holes under my fence, break lattice, and generally wreak havoc in my back yard.I also have a small dog that does not need to be fighting with these nasty creatures.

I live in the city and shooting a gun is unfortunately out. Also animal control has told me that they have no way to deal with these things. So...

I need some suggestions on how to get rid of these little bastards. I'd rather not bash them with a shovel but I am running out of options.