Might be time to get some expert advice?

We’ve never had lawn crickets before. Our lawn problem at the moment is moss growing through it

We had crickets which had burrowed down into our lawn. Our pup could hear them and kept digging holes trying to catch them. When various methods to deter the pup from digging holes failed – she simply dug at a different angle, Dad dug the holes a bit deeper and tipped Turpentine in them and refilled them when the soil started to dry. No more crickets.
Another problem, crickets will follow light and crawl under doors and go inside your home. What I have just been advised of is that they can do a considerable amount of damage to carpets, and other types fabrics.