Before making the Brachot, one lights the Shamash. While making the Brachot and lighting the flames, the Shamash is held in the right hand.
On the first night, three Brachot are said. On the following nights, only two Brachot are recited, as Shehecheyanu is omitted.
One must recite the Brachot and kindle the flames whilst standing unsupported, without leaning on anything. If this is not possible, or after the fact, the Mitzvah is fulfilled even if sitting.
After one completely finishes reciting all of the Brachot, the flames are lit without delay, from left to right.
One may not speak between the Brachot and the conclusion of lighting the Menorah. [If one did speak, he does not repeat the Brachot, unless he said something totally unrelated to the lighting of the Menorah, and he did so before kindling even one flame.]
Although the Menorah is not supposed to be moved once lit, one may move it a Tefach or two if this is necessary to facilitate its lighting, and then return it to its original position. (This may be practically relevant for someone who is infirm and cannot reach the Menorah.)
Some hold that Haneirot Halalu is said or sung after the first flame is lit and some hold that only after all the flames are completely lit and the Shamash is set down, followed by Maoz Tzur in many communities.