I've used zip ties around the legs and a bungee cord around a tree branch for mine, bungee isn't ideal but it worked.
I need to build a little stand for it next summer, none of my good tree branches are out of sight of the coop and letting the flock watch is too morbid for me.
Emotionally, I make sure my knife is really sharp, and remind myself that every animal I eat has to die, and most don't live as well or go as easily as even my imperfect attempts. They're all individual sparks just like my favourite rowdy cockerels and they live and die and suffer, people get sick in meat packing plants or are underpaid/abused farm labour, and there's very few things I consume that don't have knock on effects of suffering and environmental damage, even if I don't ever know the detail, but meat I raise and slaughter myself, that's the smallest amount of suffering I can put out into the world, even if sometimes I make a mistake and there is some.