I hand-prop Tiger Moths all the time. Don't apply the brakes, as there are none

I just make DAMN sure the throttle is set to idle. It takes a bit of power to get a Moth rolling from a standstill, so you're good as long as the throttle is right back.
I have also hand-propped a 180hp 172 with a dead battery. Nothing to worry about. Set the parking brake, get out there and start swinging

What I have never understood is how some people seem to think that standing in front of the prop is the correct way to swing it. I ALWAYS stand behind the prop, swinging it with one hand while holding firmly on to the plane so as not to trip and fall into the prop.