Premanand Maharaj Ji
Can I begin bhakti without neglecting my family duties?
Bhakti does not mean abandoning duty
Faithfully doing your duty while chanting the name is itself great worship. Bhakti teaches sacrifice for duty, not giving up duty.
If you faithfully fulfil your role, it will be a very great worship of Bhagwan. Whatever duty has been given to you, do it, and support your family while chanting the name.