Hola Shannon,

for this sentence "I like eating nuts and honey" we would say:

"Me gusta comer nueces y miel."

We omit the article "las" because we are talking in general; we are not talking about some specific walnuts. If it was a bit more specific, with more information about the walnuts then you may find the article, for example:

Me gusta comer las nueces que tú me traes todas las semanas.

I like eating the walnuts that you bring me every week.

Saludos,

Inma