I hate those little tea ball things, they always leak out tons of little bits into the cup.
My method is pretty simple. Use a pyrex measuring cup, put it in the microwave to boil, dump the tea leafs into it and stir a bit, wait a few minutes, then pour it into the cup through a strainer.
Thats why I love my kysu, it has a sesame (clay mesh screen) and it filters out the bits, and I pour all my teas thru a small strainer into my cup.