Herter's dies are good basic 1960-1970 no frills reloading dies . I bought mine from Herter's back in the day , chrome plated bodies resist rust ... To me they look like Lyman Dies ... I'm not sure who made them for Herter's ... but it was one of the loading die companies maybe Pacific or CH .
The brown box they came in just says Herters... they could be CH dies but chrome plated bodies.
I would buy them in a heartbeat ... they fly under the die radar and are very good .
The Lachmiller Dies I have no experience with .
Update: I did some research and Herter's cotracted out with several companies over the years to have their "standard" dies made to a "price point" and at some point in time ... RCBS , C&H, Lyman and Micro-Precision all made dies for Herters ...
that's why my Herter's 41 magnum standard dies look so much like Lyman ...they were made by Lyman ... all the details match ... they just don't say Lyman .
But they could have been made by C&H , RCBS or Micro-Precision (these sorta look like Pacific dies) ... still Herter's are a good basic set of dies .
Gary