Are you recording your rides to make interesting ride videos later or to have footage in case you get in a scrape?
Handlebar mounts are more stable (ie less nauseating) but they're boring AF. You're riding by all kinds of scenery and all you see is the rider's butt in front of you... or the car, or the road, you know what I mean. Helmet mounts are more interesting but most people move their heads around WAY more than you'd think and the resulting video is awful.
I used to use my go pro under one of those k-edge combo mounts. Bought a battery pack from amazon that lasts about 5 hours or so, got a big SD card and it was set and forget for long rides.