If all my income is coming from Connecticut, but I have a legacy savings/checking account in NJ, what can NJ tax? Just the accounts residing in NJ, or all my income in CT? I ask because once I move it will have an impact on me if I still have to pay the full scope of NJ income taxes on my overall income, rather than just the interest income.
Dear saab: Where do you live NOW ? If you live in NJ, NJ will have a right to tax income and savings interest.

If you do not live in NJ you should have your permanent address listed on the savings/checking account, which will not be NJ. Your banking institution should not list NJ or with hold any money on interest for NJ. You will pay tax on income/interest in your state of record.

Do not see any requirement to file in NJ if you do not live or work there.

This advice was prepared based on our understanding of the tax law in effect at the time it was written as it applies to the facts that you provided. Click on my profile to read more. Errol Quinn Enrolled Agent
I am not specifically versed in NJ law. This answer explains the way most states handle these situations.

If you now live in Connecticut and consider yourself a resident of Connecticut, then I would expect that you have no obligations to New Jersey for bank accounts. If your only connection to New Jersey for 2009 is a bank account then you probably do not need to file taxes in NJ or pay them anything.

Think about all the people who open bank accounts online with banks in other states.

On the other hand if you have real property in NJ like rental property or if you work in NJ then you may owe NJ taxes.

Again, I am not specifically familiar with CT or NJ tax forms, but typically if you move from one state to another during the year, you must file a part year resident return with each state. Each state differs slightly in how they figure your tax, but typically you must know how much of your income was received while a resident of each state.
You won't pay tax on the interest to New Jersey. New Jersey only taxes interest and dividends of residents, not non-residents.

I still have an account in Virginia, even though I haven't lived there in years. Virginia doesn't tax the interest either. Just Delaware, where I currently live.
you work in Connecticut, that is your tax home? that is your reportable state
the interest you receive from NJ would be included on your 1040 but you should not be taxed in NJ on it
yes when you move then your tax home will be NJ, if that is where you work.