You put the tea in tea pot (1/3 to 2/3 of the volume). Pour in the boiling water. Let it stand for 15 minutes minimum - very important! Pour the concentrated tea into the cup first, add hot water to taste. As to tea debris - it just adds to the flavor. If you did things right, it will all be on the bottom of the cup. If you feel really posh, buy a tyny wire basket that hangs under teapot's spout and traps the leaves.

Some people actually cover the teapot with special thick cover to preserve the heat while the tea is being infused.