To check your convergence, put up a very fine white grid pattern on your TV. (fine lines a pixel or 2 wide with say a grid of 16x12 squares)
Have a close look at the white lines, if they are kind of blue on one side and red on the other in places, then your TV needs converging.
You can see the effect sometimes on crisp white text - it will look like it has a red or blue outline around it.