Liberty State Park is located in Jersey City, NJ and is easily accessible by car, or light rail. However, if you are not driving a vehicle, I do recommend that you take an Uber or Lyft to the park, since the light rail station is a very long walk from many of the most popular parts of the park.
For our stay, we were by Flag Plaza or how the locals refer to it, "The Flags". A popular area in the East side of the park. While there are many tourist that visit the West Side of the Park for the 9/11 Memorial and the Ferry to the Statue of Liberty, very few wander all the way down to the other side of the park. This makes it an ideal part of the park for local families and those in the know. It also has the best views of the beautiful New York City Skyline, as well as the Jersey City Waterfront Skyline that seems to blend in perfectly from this vantage point.