Tools for analyzing stakeholders abound: checklists, excel spreadsheets, etc. And, of course, there many assumptions built into such tools and frameworks (often unstated). We'll want to at least touch on some of these issues in a future. But for now, you are going to learn by doing--so give these a try!
There are plenty of practitioner-oriented resources to draw on--consider this detailed overview, Project Clarity through Stakeholder Analysis, from the software industry. Note that you can click on each image to see it more clearly. This piece should give you a sense of how stakeholder analysis is used in projects.
For a ready-to-use tool, here's an interactive framework, Stakeholder Analysis Worksheet from IT Toolkit. A similar workseet, Stakeholder Mapping, from ChangingMinds.org also shows some links to a simple model of change that may be useful for you.