How do you bring back improvised turrets?

Each colonist and animal has an informational page you may look at to find their maximum carrying capacity. From that menu, you can see if anyone is capable of lifting 100kg. A colonists manipulation stat will affect their hauling capacity, either decreasing or increasing it. If I remember correctly, some prosthetics may increase manipulation above the normal amount. The two mechanites diseases also increase manipulation.

You would need a person with the proper stats to carry this item. Alternatively you can train an animal to haul it, such as an elephant which has a capacity of 300kg. Unless one is trained already, it is most likely faster to deconstruct and reconstruct elsewhere.