Como dizer "Corte a carne bem fininha" em inglês

Hi, there !
How would you like your steak? Rare or well done? I like my steak well done mainly mutton I think that it is meat from a fully grown sheep. But at the steakhouse, how can I say corte a carne bem fininha in English ?

Help me with new expressions to steakhouse for a meeting !!



Thanks in advance,
Alej.