As far as critters, why not just let your kids experience it? If you live someplace with venomous critters, teach them how to notice and give a safe distance. In your home is sterile enough, so let the kids have something a little more wild outdoors.
(No grass without clover and daisies, they're honorably lawn here as well.)
That said, I chipped a big portion of the lawn for a berry patch/orchard and maintain the wild black raspberry and wineberry outside the wire. Current status: strawberry overload!
Or, have something that will eat the ticks, like chickens. They come with their own problems, but they will also pay their way with pasture-raised eggs that are better than the cage-free stuff you get from stores.
If you really wanna provide an educational experience for the kids, add butterfly host plants for butterfly/moth species that live in your area. I planted milkweed for Monarchs last year and it was a very rewarding experience to raise the caterpillars through the lifecycle with my preschool aged kids. This year I've planted a lot more milkweed, as well as dill (for Black Swallowtails).
If your yard is more to LOOK at than to use, then this makes more sense to me