You can reach all three falls along this road.
The cave is located near Road A-12, 3.3 miles from Highway 97 on the left. Follow the dirt road 0.2 miles, then follow the trail on foot approximately 0.3 miles to the cave opening.
https://www.nps.gov/labe/index.htm
You can walk around the park and explore Redding's beauty or you can enter the Exploration Park with your little one and look at some local wildlife as well as check out exhibits. The guest shop is cute too.