Bugs don't care what type of green you have in your lawn. You can even mow.
Just don't spray insecticide on your lawn.
Edit: also, why the fuck would you remove existing lawn to replace it with new growth? That's like indiscriminately bulldozing every home in a city to rebuild them with whatever is the current trend in sustainable housing. Where do people live in the mean time? Please don't let this person, or me for that matter, inform your opinion.