I'm not bothered bout my lawn. Grey squirrels have almost extirpated my crocosmia/montbretia with the exception of the variety lucifer which must taste different. They have tunnelled under my Begonias to get at bulbs underneath, they throw mounds of earth onto my gravel, litter the paths, table, chairs and waterfall with the stems and outer skin of the crocosmia and if they manage to get into my attic they could do thousands of pounds worth of damage and even cause a fire if they chew through the electrical cables.
Squirrels are a menace which is why they can be treated as vermin and killed.
I simply relocate them. They're lucky.