"tumhare bhajan rām ko pāvai" is Chaupai 33 of the Hanuman Chalisa, which Tulsidas wrote in Awadhi. It means: By singing of you a person reaches Rama and leaves behind the sorrows of birth after birth. Read it slowly, one half at a time, and say the Awadhi aloud.
तुम्हरे भजन राम को पावै ।जनम जनम के दुख बिसरावै ॥tumhare bhajan rām ko pāvaijanam janam ke dukh bisarāvai
By singing of you a person reaches Rama and leaves behind the sorrows of birth after birth.
Awadhi text: Goswami Tulsidas, Gita Press reading, checked against three Gita Press printings and Rambhadracharya's Mahaviri. English meaning and word glosses: Wisdom's own, following the traditional reading, edited by Ankur Shukla.