Sunset, there is a list published on the section 8 website of all the homes for rent in Jacksonville that will accept section 8 tenants. You do not need to even use a Realtor to find one. You didn't say where you are moving from, but you might want to check to make sure that you can get on the list, as I understand there is quite a long waiting list.
If you would like to send me some information on your family, your needs and your desires in finding a home to rent I would be more than happy to do some research and send you some listings. I would also need to know when you anticipate making the move, how much you are wiling to pay in rent, etc.