I have not used my buckets for years and I have lost the handle so I cannot take a picture. My buckets have a lip about 2 inches from the top.  If you turned the bucket upside down it would hold water and the water would be about ½ inch deep.  I took 2 pieces of.064” aluminum about 2” X 6” and bent one end in a J.  I put a 1 &1/16 hole in the other end.  I cut a 1indh aluminum pipe a couple inches longer than the bucket is wide.  The J’s catch in the lip and extend above the top of the lid enough to slip the pipe through.  Everyone agree they made the buckets easier to carry but complained the aluminum handle was cold on their hands.

Might be easier to put a rope through a pipe tie one end of the rope at the lip and put a hook on the other end to hook on the lip.