If you’re going to do the name change for a reason other than marriage, there are two different ways to go about it most jurisdictions, and it makes a difference on your passport process. I found this out the hard way.
You can either do a legal decree or a common law name change. In the legal decree, you petition the appropriate court, promise you’re not doing it with the intent to defraud anyone, etc. The judge issues you a decree and, often, you take out a notice in a major newspaper in the area. After that you change it with social security and motor vehicles (in that order).
The other way is a common law decree. You supply a form to the county recorder that you are changing your name, that it’s not for the purposes of fraud, etc., then lather rinse repeat with SS and DMV. This route is cheaper, since there is only the filing fee rather than court costs.
HOWEVER, the passport folks will immediately recognize the legal decree. You have to jump through a world of hoops for a common law decree. Under both systems, when you initially apply, you’ll have to provide the photos, your birth certificate and an official your change of name declaration. If you use the common law method, and haven’t been using the new name completely and officially for at least five years, your application will get rejected.
You then have to present two affidavits from people who have known you (IIRC) for at least two years and who have known you under both names, along with any supporting documentation (Bank statements/utility bills for the same account, with your old name before the change date/new name after, pay stubs with the old name and new name, etc.) and they will then review your case.
After a review of anywhere from 30 days to 180 days, if all your paperwork is in order, they will issue you a passport in your old name with a notation on the back page that you are also known as your new name. This will cause you modest, but not insurmountable delays when clearing customs or checking in for international flights. The agent will open your passport, see the name doesn’t match, look at you quizzically or like you’re the spawn of Usama bin Laden for a moment and then you’ll say, “Back page, please.” Every. Single. Time.
Why, yes, this is exactly what happened to me when I changed my first name five years ago. Why do you ask?