@TomD8
Here's your first problem. New York taxes remote workers in your situation. But your state of residence will also tax you.
However, you are not subject to New York City or Yonkers tax unless you actually physically live in the city, even if you work in the City. Technically, you owe city tax if your domicile (permanent residence) is in the city, or if you maintain a permanent place of abode for more than 184 days. That means that if you keep a NYC apartment for when you need to meet clients, you owe NYC tax even if you stay in the apartment less than 184 days, because the apartment is a permanent place of abode. But if you use hotels, AirBnB, or similar, then you do not have a permanent place of abode and are not subject to city tax.
For state tax, if you live out of state but have a job that is located in NY state, and you physically work in NY state for at least one day of the year, then all your income from that job is subject to NY state income tax. Meanwhile your home state will tax you on all your world-wide income (job, but also investments, interest, lottery prizes, and so on.). Your home state will give you an offsetting credit so you may end up owning very little CT income tax, but that's hard to anticipate without more exact figures. But you may need to arrange for some CT withholding, or do some estimates of your CT taxes and make voluntary quarterly estimated tax payments. If you overpay the estimate, you get the difference back as a refund.
The instructions and worksheets are here.
https://www.tax.ny.gov/pdf/2024/printable-pdfs/inc/it2104i-2024.pdf
I can't tell you what to put on line 1 and line 3, but since you will check "no" for the residency boxes, you will live lines 2, 4 and 5 blank, since you will not have city withholding.
(Unless you plan to maintain an apartment for your visits, then you are a resident, and should fill out lines 2 and 4 or 5 according to the instructions.)
