Depending on where you live in NJ, you will not be able to go far, since there are now states of emergency in NJ and surrounding states.
DE declared a state of emergency last night for all coastal residents to evacuate today.
Rt. 1 on the DE/MD line was closed at midnight last night due to the closure/evacuation of Ocean City, MD; unless you have a deed showing ownership of property there, you will be told to turn around and go back to DE.
I doubt you are going to get very far. And if NC/SC has sustained extreme damage, you will be turned away at the state line as well.
You should be checking the information provided by your local/state government agency as to whether you will even be allowed to be on the roads at that time.