The CarryOn mod is a fantastic way to easily transport any blocks that normally contain things such as chests and furnaces without breaking the block or removing any of the items within!
Now if you have an entire storage room of chests filled with items, you no longer have to painstakingly empty them just to move them to a new location. Just walk up to it, shift + right-click it with empty hands and then just place it in its new location. The only downside is you will be a bit slower when carrying blocks and the amount of items within will also affect speed.
And you can even move many smaller animals making it so much easier to wrangle or capture lost creatures!