New Jersey has launched a new program to help homeowners and renters save on property taxes. The ANCHOR program, short for the Affordable New Jersey Communities for Homeowners and Renters, replaces the Homestead Rebate. The new program’s income limits and other qualifications are different from the Homestead Rebate, so more residents will be eligible. There are no age restrictions, and the state Treasury Department said up to 2 million taxpayers should get rebates with an average payout of $971. So do you qualify? What if you move, get divorced or own a home with someone else? What if you’re m…