The Pine Creek Loop 280, (see TrailDEX) is a hoot for kids, just be sure you take the Northern route for both outbound and the return. The Southern route is too steep for kidlets. It's right off the Beeline, past Four Peaks approx 9.5 miles. I think the sign is down but if they repaired it, it will say Ballantine trailhead. Pine Creek meets up with the Ballantine Trail at the 1.5 mile marker. Their are some friendly cows along the way and lots of birds. It is NOT a kid proof trail but I think it's reasonably safe. Good luck.
Mother nature seems to like humans, and not just because they taste like chicken