There are many good tracks in Te Pahū. Some start from the Kāniwhaniwha Reserve on Limeworks Loop Road. There is also the Karamū Walkway and a section of the Te Araroa Walkway as well.
Information is on the DOC website here: http://www.doc.govt.nz/parks-and-recreation/places-to-go/waikato/places/pirongia-forest-park/