A Project can be defined as "an effort to create or modify a specific product or service."  A SMART project is:  Specific, Measurable, Achievable, Relevant, and Time bound

A Process can be defined as " a series of actions which are carried out in order to achieve a particular result."

Managing your Project or Process is a very broad concept and would best be determined when all aspects are finalized.

Project Management can be defined as "the discipline of applying specific processes and principles to initiate, plan, execute and manage the way the new initiatives are implemented"

Process Management can be include Analyzing, Designing/Modeling, Implementing, Monitoring, and Optimizing.

We use several methodologies, some of which involve a Business Process Management (BPM) system.  We practice the Agile method or managing Projects.