Moles can damage sod because they dig tunnels just below the surface, which uplift the ground. They spend their entire lives under ground.
Ground squirrels may dig some small burrows, but they won't tunnel and damage the sod.
HOWEVER--make sure that ANY exposed electrical lines within reach of the little buggers are covered in something chew-resistant, and keep an eye out. The trouble with ground squirrels isn't the digging, it's the chewing. Rodents love to chew wires and many electrocute themselves and/or start fires in buildings as a result of that.
Make sure ALL access points into your attic are covered in strong mesh (a good idea anyhow! If they've climbed to your gutters, they could climb in any opening they find in the house.
They're not the world's worst neighbors, but you do have to keep an eye on them and be aware of what type of damage they can do, so you can keep vulnerable things out of harm's way.
Apart from that, they're fairly intelligent, and you can probably set out some treats specifically for them (such as unsalted peanuts) and enjoy watching them. They'll learn that you bring treats, and if you sit quietly, they'll get more used to you.
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