I simply took the soft nylon cord that I whipped with and made it into a small loop big enough to get tieout cord through. I sewed the loop to a 1 x 1 inch square of my black webbing and then sewed the webbing to the hammock. (Before sewing webbing to the hammock I melted the cut edges of the webbing with a match to keep the edges from fraying.)
Did same thing to other side.
Figured that there would be less of a chance of the hammock material tearing if I did it this way. I don't know how others do it.