Gilly, if you're using boiling water for green tea, it's not a good idea. Let the water cool for a few minutes, or warm it to the point of almost boiling. It should be hot, not boiling. Also, only let it steep for 3 minutes, max. Otherwise your tea gets awfully bitter.
EDIT: Sorry, Tomas I double posted with your instructions.
Try this kind:

It's about 4 bucks a box. I like it. Oh, and I don't know if this is an obvious thing to say, but honey is really nice with green tea.