Carry On allows you to carry block tile entities like chests to place them anywhere else you want with ease. If you’ve got full chests and want to move them without emptying them first then all you have to do is hold shift and right-click to pick it up!
You can then set it down wherever you need it to be next and all your items remain inside!
But this mod applies to mobs as well so you can easily move your livestock around or any animal you come across!
And you can even pick up villagers and and enemy mobs!