The Barber Shop Tickets are located in the Cosmetics and Fireworks section of the in-game item mall. They are currently sold in 7-day and 30-day versions and are basically a transformation box for your hair. No joke. When used they transform your hair into a different hairstyle for up to 5 hours. They do stack with the racial transformations, and unlike the racial transformations, you CAN change jobs while your hair is "transformed".
Currently there are 9 different hairstyles to choose from - the 6 starter hairstyles available in the character creator, plus 3 more new hairstyles (which I will post screenshots below of those - they are different for both genders). If you'd like to look at screenshots of the starter hairstyles, please visit my Faces and Hairstyles page. The starter hairstyles are labeled as "basic" and the 3 new hairstyles are labeled as "special".
When used, the item does stay in your inventory (it really is just like a racial transformation box for your hair), and it is not tradeable after you use it once because the timer starts up. You can right click the buff it gives you to get rid of it (just like you can with racial transformations). You must remove the buff before trying to use a different Barber Shop Ticket.
The hairstyles seem to be the same across all races, but do differ by genders, so I had my bff Knives help me out with the male version screenshots.