Ring lights are fine, if you want a visible pool of light moving with the camera. In other words, it's kind of like a camera-top light used by a news shooter. So, it'll look more like news. Plus, it lights from a straight-on angle, meaning it provides flat light with no contrast, no depth.
I get the rig as a need for stability. I use a shoulder rig. The question was really trying to feel out priority, because that's something that can be triaged for beginners. Use both hands on your camera, tuck your elbows in to hold them against your torso, and practice your walking technique. Roll your feet in a fluid cycle from heel to ball, walk with a slight bend in your knees, and use your knees as shock-absorbers to keep your torso from bouncing. With practice you'll learn how to walk and keep yourself fairly stable from the waist up, which will come in handy with a shoulder rig, with a stabilizer or gimbal, etc.
You can also add a bit of handheld stability with a
PISTOL GRIP and
LOUPE. The loupe adds another point of contact between the camera and your body, increasing stability. This solution outfits your camera to a form factor like a basic, classic 8mm/16mm home movie camera.
