Most Landlords here in NJ want require several things before they'll sign a Lease: Application Form (which includes References), Employment Verification, and a Credit Report. In addition, they'll want the first month's rent up front and a Security Deposit. Landlords want to be sure that they'll receive their Rent each month, on time -- you will need to demonstrate this to them -- perhaps your Agent will assist you by helping to write a cover letter for your Application explaining what led to your bankruptcy and what your current situation is like, and why you would be a great tenant.
Good luck to you,
Prudential NJ Properties