My inclination is to go the route Moros described though I have absolutely no experience with a situation just like that and no training. I hope Summer will weigh in. She's in a program and may know just what to do.
Is the yard producing much growth through the sticks? If they're pretty rotten, I like the idea of letting them rot under some new top soil and then new sod.
Another possibility, depending on the age of the kiddos would be to make a path around the yard by scraping off the sticks and anything green, laying down landscape fabric and then laying down an inch or two of pulverized granite. Tamp that down and wet it. It'll become like sandstone and be good for running and riding trikes on. In the center you could bring in sand and a play structure. On the outside you could put in whatever you like to look at to give you a sense of enclosure and nature. It kind of depends on how big the yard is, what you like and what you want to spend.
Is the yard producing much growth through the sticks? If they're pretty rotten, I like the idea of letting them rot under some new top soil and then new sod.
Another possibility, depending on the age of the kiddos would be to make a path around the yard by scraping off the sticks and anything green, laying down landscape fabric and then laying down an inch or two of pulverized granite. Tamp that down and wet it. It'll become like sandstone and be good for running and riding trikes on. In the center you could bring in sand and a play structure. On the outside you could put in whatever you like to look at to give you a sense of enclosure and nature. It kind of depends on how big the yard is, what you like and what you want to spend.