Tracing family history back before 1864 will require looking at parish and church records, so for such a trip back in time to the 1500 or 1600's you will need to have some idea of location or historical documents to help narrow down your search.
There is an existing community forum thread, Starting your Genealogy Journey
that has some excellent information on resources that you may wish to have a look at. There are lots of suggestions for genealogy centres and other websites that you may also consider looking at.
I'm also sure our Industry partners and fellow members will have some advice also.
We hope this helps get you started,