Ian is absolutely right. It is against the law for landlords to refuse to accept your application solely because your method of paying is with a Section 8 voucher. They can, however refuse your application for a number of other reasons (such as a poor credit score, or lack of rental history). Likewise, Jersey City's rental market is very dependant on Realtor's, meaning that many apartments require the tenant to pay between one half month and one month's rent for the Realtor's commission (broker's fee). Section 8 will not cover this expense, but if you cannot afford this, there are a number of rentals where the landlord agrees to pay the full fee.
Before becoming an agent, I worked as a Housing Social Worker managing rental subsidies and helping clients with Section 8 and other programs find homes.
If you would like to give me a call or shoot me an email, I may be able to help you find an apartment, either with or without a broker's fee.
Victoria Realty Group