I live in NJ and single owner of LLC. If I move to FL, then how do I file state taxes to FL and NJ?
Do I file as NR to NJ, and nothing to FL as FL has no corporate income tax?
An LLC is NOT a corporation and not taxed like one unless you filed forms with the IRS to be treated as either a C or an S corporation.
A single member LLC files a 1040 with schedules C and SE.
Nonresident is if you have income in a state where you do not live in at all. There is likely something different for "part year" resident.
If you move in the middle of a year you would file in NJ as a part year resident. I know that FL has no personal income tax and if it has no corporate income tax you would not need to file anything in FL.
Of course you would still have federal income tax.
You would file a Schedule C as a disregarded entity in NJ. In FL you would file a Schedule C as a disregarded entity.