When you are thinking about developing a test strategy for a new project consider this first. A strategy defines an action plan to meet the objectives defined in a test plan. So do you have a test plan? And does it identify clear objectives. If so, what are the test requirements? When that question is answered, you can begin developing a strategy. Without the test requirements it is difficult to identify a scope that is the beginning of a test strategy document.
A test strategy should define a scope, an approach to accomplishing test activities, test environments to meet various phases of testing, endorsement of test tools and how they will be employed and purposed, a virtual control system or approach, any risks involved and how they will be mitigated, the process of approvals to progress or reject the application components.