Go Pro type cameras are definitely better, just by sheer size and bulk. There are plenty of unobtrusive mounts that can be used (shirt cams, for example). I've used three different cameras to capture footage both used and unused: a snap shirt cam (about 1.5x.1.5x0.5 inches), a tiny sodial dash cam with an internal battery (about .75x.75.x75 cube) and a go-pro clone (Action CX) with a mini tripod.
For the snap cam and tiny sodial camera, framing the shot was the main issue; there are mobile apps that help with this, but the angles can get all messed up. As long as you're generally pointing in the right direction, you can edit the video by reframing and stabilizing the shot. I've made the mistake of leaving the go-pro clone in it's waterproof case which seriously muffles the audio. It might be best to go with an external microphone when using go-pro type cameras too.f
Lastly, from a non-technical perspective, it's probably a good idea to obtain permission or at least be prepared to ask for permission.