Corpses that you can carry in your backpack from freshly killed animals will disappear in your house.
Corspes that you can find for example in PoH or Orc Fort where they are just decoration and don't disappear in PoH won't disappear in your home.
They will remain in your house. If the corpses are able to fit in your backpack they'll also fit in your depot so if you were to move out of your house those corspes will still stay forever. If you transfer your house you'll give your items to the next owner so make sure you move out all your items if that's the case.