your question is somewhat ambiguous
generally , furniture is non countable noun
The correct answer is either :
I prefer wooden furniture (without any article ) because the speaker talks generally about what he feels.
Or :
I prefer the wooden furniture because the speaker is doing some shopping at a furniture shop and speaks to the shopkeeper.
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Real name : Shadi
User name : Toyor el-Ghurbah
Post : EL.Teacher
Country : Palestine
City : Gaza