Hi Mike,
Thank you for your question. I'm sorry you are having trouble with your lawn. Pill bugs are usually a sign that you have high moisture and a lot of organic matter.
They feed primarily on decaying plant material and occur mostly hidden under organic litter or other debris on the ground and beneath low-growing plant parts. Pill bugs are beneficial decomposers and recyclers of plant nutrients. But they may also chew fruit, succulent plant parts, seedlings, and vegetables that touch damp soil.
Address damp, dark hiding places. Reduce moisture and remove debris. Removing leaves, mulch, rotting wood, wet firewood with loose bark, or other decaying organic matter on the soil will help, along with ensuring good irrigation practices and drainage. Try reducing the frequency of irrigation (without killing your lawn) and irrigate early in the day so surfaces are drier by evening when they are most active. Lots of rain can cause an increase in their population, but good drainage can help control moisture.
This website describes some natural ways to control pill bugs.
https://growinginthegarden.com/5-ways-to-keep-pill-bugs-from-destroying-your-garden/
Citrus, beer, or yeast traps have been effective. Diatomaceous earth is another non-chemical solution (but for safety, make sure to follow the instructions and wear a mask when applying it). Organic slug and snail bait also works.
We would only recommend pesticides if they are causing severe feeding damage to young seedlings or ripening fruits. However, they can be resistant to pesticides and outdoor pesticide applications will unlikely solve recurring problems unless the underlying moisture issues are solved.
Here are some additional resources:
https://extension.umd.edu/resource/pillbugs-and-sowbugs/
https://fairfaxgardening.org/pill-bugs-sow-bugs/
https://entomology.ca.uky.edu/ef439

Please reach out if you have additional questions.
Hollis
DC Master Gardener Volunteer