Suggestion 1: Look up Portals in filemaker's on line help system. This is a tool that lets you display multiple records in a small "sub form" as part of a larger layout.
Suggestion 2: Look up Summary Parts in the on line help. Summary and Sub-Summary reports are a way to group records by a category with labeled group headings.
"Is there some way I can have a list of all the Project records I have, and then click on a record to go to the actual form version of it and be able to change/add information?"
Create a list/report type layout that lists your project records. Put a button in the body of this layout so you see a button as part of each set of Project fields listed. Set the button to use Go To Layout to switch to a second, Form View layout to display the same record for view/editing.
what about this part?
"and have an area where users can enter more project information and click a button to make it into a new Project record? "
That's a hard one to respond to without knowing exactly what you mean by "enter more project information". This might be accomplished simply by the user creating a new record and entering the data.