First, if at all possible, I'd suggest NOT using your relational DB as your "reference" for transposing to a graph model. All too often, mistakes and pitfalls from relational modelling get transferred over to the graph model and introduce other oddities. In fact, if you have a source ER diagram, that might be an even better starting point as it's really already a graph. And maybe even consider a re-modelling exercise for your domain!
That said, from a basic point of view, you can think of most tables as representing a node type (e.g. "User" or "Movie") with join tables and keys representing relationship types.
A great starting point, from my perspective anyway, is to determine some questions your graph/data source should answer. Write those questions down, and try to come up with Cypher queries that represent the questions. Often times, a graph model naturally arises from such an effort, and it's really not that difficult.
If you haven't already, I'd strongly recommend picking up a (free) copy of the Graph Databases ebook from here: http://graphdatabases.com/
It's jam-packed with a lot of good info on where to start with modelling your domain and even things to consider when you're used to doing things in a relational manner. It also contains some material on Cypher, although the Neo4j site (neo4j.org) has a reference manual with plenty of up-to-date info on Cypher.
Hope this helps!