In Washington it's called a CPL - conceal pistol license.
Cost to get one is $55.25
http://www.dol.wa.gov/business/firearms/faconceal.html
The above link will give you the basics of how to apply, common questions and requirements. No class needed to apply (unlike some states that require some safety instruction).
For those new to conceal carry I strongly recommend this book that covers most common questions (from a legal standpoint).
http://www.danddgunleather.com/pages...gun_rights.htm
You can purchase this book from most gun shops in the Seattle area.
If you have any questions let me know.