I lived in New Jersey for 67 years before I retired to Pennsylvania. New Jersey does not have a lot of quilt shops. It does, however, have very large fabric stores. Joann's is an example. There's a large fabric store on Route 22, which is a lovely store. It has home dec fabric, ready made items, and quilting fabric in the back of the store. They also give classes. Wish I could remember the name of it, but Google fabric stores in New Jersey.
As a matter of fact, I didn't know there were quilt shops until I moved to Pennsylvania. There's lots of them here. They're small shops with nice people running them and classes from people who have been quilting for years. They tend to be a little more expensive, however, than a large fabric store.
Good luck on your search.