Praise be to Allah.
The correct procedure for Wudu is: a person should pour water from the vessel onto his hands three times, then put his right hand into the vessel and rinse his mouth and nose three times, then wash his face three times, then wash his arm up to the elbow three times, then wipe his head and ears once, then wash his feet up to the ankles three times. If he washes everything twice, or once, this is sufficient. Then after doing Wudu he should say: “Ashhadu an laa ilaaha illa-Allah wahdahu laa shareeka lah, wa ash-hadu anna Muhammadan ‘abduhu wa rasooluh. Allahumma-j’alni min al-tawwaabeen waj’alni min al-mutatahhireen (I bear witness that there is no god but Allah Alone, with no partner or associate, and I bear witness that Muhammad is His slave and Messenger. O Allah, make me one of those who repent and make me one of those who are purify themselves).”(Fatawa al-Lajnah al-Daa’imah, 5/231).
Before doing Wudu, one should say Bismillah, because of the hadeeth: “There is no Wudu for the one who does not mention the name of Allah when he starts.” (Sunan al-Tirmidhi, 56)