Find out the next test method to execute in MS TestInitialize

The AssemblyInitialize method is executed only once before all your tests.

Use the TestContext inside the TestInitialize method:

[TestClass]
public class TestClass
{
    [TestInitialize]
    public void TestIntialize()
    {
        string testMethodName = TestContext.TestName;
    }

    [TestMethod]
    public void TestMethod()
    {
    }

    public TestContext TestContext { get; set; }
}