Use editing software.
If you want to go through editing software, you have some other options, too. The "Save For Web" function (File, Save for Web & Devices) should scrub the data, but the scrubbing is probably the very last step you want to take before you release your photo, and there's usually a way to do it within your operating system. Here, for example, is a quick tutorial for Windows. (Alternately, if there's not an option for GPS scrubbing on the Windows version you're running, you can download software like Metanull.) On a Mac, it's a little tougher--you'll need some software. Here's a similar software download for Mac, but there are a lot out there. (And Lifehacker has a quick one for Linux users, too.)