Follow the Alltrails link below to get to the falls. There is not alltrails that goes specifically just to this waterfall but this trail will get you there.
It's about 1.5 to 2 miles roundtrip to get here through some beautiful woods. Most of the hike is flat and then you will descend to the waterfall.
This is a less trafficked area than a lot of others nearby and I only saw 2 other groups on my hike.
The parking is a gravel lot that can accommodate about 20 cars so you shouldn't have an issue parking. There are a bunch of campsites in this area so if you're looking to camp you should have no issue finding a spot.
If you're looking to camp, you will need reservations. The reservation site can be found here: https://reserve.tnstateparks.com/savage-gulf/campsites