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Chest Transporter is a simple light-weight mod that allows you to pick an entire chest into your inventory and then carry it to place it in a different location. In order to prevent this mod from being overpowered, the mod slows down your digging speed while you are carrying a chest. You also cannot jump over one block and will have more hunger while carrying a chest.
Take a look at the screenshots to see what you can expect from this mod. This is a Forge mod and download links are given below. Read the installation instructions carefully.