"Each morning, we are commanded to wash our hands and recite the blessing Netilat Yadayim." (source)

"The purpose for ritual hand washing isn't about cleanliness, so, yes, we are permitted to wash our hands with soap and water before we do al netilat yadayim (the washing you're talking about)." (source)

"We like to do the Yehi Ratzones after we wash netilat yadayim."

"Waiter! Do you have a place here for Netilat yadayim?" (Glinert)