Your picture shows the Universal Fit Ball Rod Assembly, Dunco #88532. I think the one I got at Home Depot, Universal Lavatory Pop-Up Ball Rod, Partsmaster Pro 58423, is exactly the same thing.
This was the best guide I found to help me do this exact repair. The broken/deteriorated ball rod looked the same and I happened to buy the same kit. I had trouble with the tension of the pull road (i.e., the rod wouldn’t stay up), but your helpful photos helped me fix the problem. I am indeed a man, and I only care about the advice, not who gives it! The “who needs a man?” comments hurt a bit :-), but I understand the sentiment. Save the plumber’s time for the complicated stuff.
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