We still call them layouts. The big change for you is that FileMaker is now a relational database. That means you can create multiple tables, each designed to store different kinds of data and then you can link them in relationships. If you are unfamiliar with relational database design, it would be a good idea to study up on the concept.
Take a look at the Invoices starter solution. You may be able to adapt it to meet your needs. Whether you use it or not, Comment's invoices demo file is a good place to start as its very "stripped down" design makes it much easier to learn from: http://fmforums.com/forum/showpost.php?post/309136/