Jersey has one big advantage for a graphic designer. It's in the shadow of NYC. There are many agencies in the North Jersey area and at least ten times as many just a short commute into NYC.
I've been working as a graphic designer/photographer/web designer in the southern part of the state, more of a suburb of Philadelphia, for the last 20+ years. Nice thing has been, as one door has closed others have opened in the area.
Like others have mentioned, don't think about living in New Brunswick. It's a great place to commute into. And there are much beter places to raise a family in NJ.
Best of luck with the interview,