Where can I find information about applying for Medicaid and/or Veterans benefits to help pay for assisted living facility in NJ?

You could go to the County Board of Social Services in the County in which you live, or the Medicaid applicant lives.  The intake workers there can assist you with eligibility guidelines and the application.  Much of the Veteran's benefits have the same criteria, except that the look back period is five years for Medicaid and three years for Veteran's and if you are a Veteran, you can keep more of your assets.  There are two Veteran's homes in New Jersey that provide long term care.