Have a good sized and sturdy fireguard and trips are not a problem, it fends them off. Where our wood burner is the children ran parallel to it, not towrads it, so falls did not take them towaards the fire.
Kettles on stoves and ans on cookers should be out of reach of small children but a lot aren't. The same applies to stoves. ours is set well back from the room in a deep open fireplace, and the shape and size of the room and site of the chimney, mean, as I said that, if children run they do not run towards the stove, only alongside it.
I can assure you I am just as concerned about the safety of my DGC as any other grandmother and my children equally concerned for their children. If anybody at any point thought the arrangement was unsafe, we would have made it safe The DGS are now in their teens and I cannot think of a single occasion when there was an accident, near accident or near miss, involving the stove. They were well supervised.