Tradução:Por favor, coloque um pouco de gelo em cada copo.
But there are differences. I wouldn't say "I laid my cup down" if I placed it standing up. Both "set" and "put" work here.
Think of "put" as "place".
Think of "lay" as you going to lay down on a bed and sleep. It's generally gentler.
Think of "set" as preparing something to be placed standing up. Please see the website : https://hinative.com/pt-BR/questions/7056462