I was injured in an accident in NY state I live in NJ. Do I need a NY or NJ Lawyer?

The claim will most likely be brought in New York unless you were injured on a property that is owned and operated by a multi-state company that owns property in New Jersey.  For example, if you were injured in a Hyatt Hotel in New York, you could actually bring the litigation in New Jersey because there are Hyatt hotels in New Jersey.  If you were injured in a motor vehicle accident on a New York road, by a New york driver, then you will bring the matter in the New York Courts.