Think of an American abroad as having two jobs each year: reduce the tax, and file the reports. They are separate, and the reports do not depend on owing tax. Nearly every problem an expatriate runs into is a failure to see that the reporting obligations stand on their own.
Reducing the tax runs through three tools. The foreign earned income exclusion lets a qualifying person leave a capped amount of foreign wages or self-employment income out of US gross income, and qualification depends on meeting either the bona fide residence test or the physical presence test. The foreign tax credit offsets US tax dollar for dollar with income tax already paid to the country of residence, and it reaches investment income and other categories the exclusion does not. Income tax treaties, where one exists, reassign taxing rights and cut withholding, though a treaty's saving clause limits how much it helps a US citizen specifically. In a high-tax country the credit alone often erases the US tax; in a low-tax or no-tax country the exclusion does most of the work.
The reports are the other job, and the one people miss. An expatriate with foreign bank or brokerage accounts must file the FBAR when the accounts' combined value tops $10,000 at any point in the year, filed with the Financial Crimes Enforcement Network rather than with the return. Separately, under the Foreign Account Tax Compliance Act, larger foreign holdings must be reported on Form 8938 with the return itself, at thresholds that are higher for people living abroad than for those in the United States. Many expatriates file both. A further trap sits inside ordinary investing: buying a foreign mutual fund or ETF usually means owning a passive foreign investment company, which carries a punitive tax and its own annual form, so US persons abroad generally hold US-domiciled funds instead.
Deadlines shift in the filer's favor, but interest does not. A taxpayer whose tax home and abode are outside the United States gets an automatic two-month extension to June 15 with no form required, and can extend further to October as anyone can. That extension moves the filing date and, for those abroad, the payment date, but interest on any unpaid tax still runs from the ordinary April deadline, so the extension is not a grace period on interest.
State ties can outlast the move. Federal citizenship-based taxation is only half the picture. Several states are aggressive about continuing to treat a former resident as a resident until the person has genuinely severed ties, so an expatriate who keeps a home, a driver's license, or voter registration in such a state may still face a state return. State residency turns on state law, not on the federal rules for living abroad.