Once you become a resident of NYC, all your income, regardless of where you earn it, is subject to both NYS income tax and the NYC personal income tax.
With regard to PA state income tax on the income you earn remotely after your move to NYC, the answer is "it depends on the circumstances." Here is PA's rule regarding taxability of telecommuter (remote) income:
"When determining the taxability of income for telecommuters, the Department of Revenue looks to the employment agreement between the employee and their company. If the agreement provides the employee with a physical workspace at the employer’s PA location and the employee elects to perform their work outside of PA, then the income for that employee is allocated to PA. If the employer does not have a physical work space in PA available for the employee to perform their duties and the work is performed outside of PA strictly for the benefit of the employer, the income for that employee is then allocated to the state in which those duties were performed."
https://revenue-pa.custhelp.com/app/answers/detail/a_id/3597/kw/remote%20worker
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
