Well fitting prescription glasses shouldn't be a problem. You can use a cord if you want though. Rip Ride Rocket in Universal is the only ride, where you may be asked to remove glasses. My wife was told to either store the glasses, in space by ride, or wear them, on other rides.

You can absolutely wear glasses to Disney, and it is a very common sight throughout the parks; however, there are "pro-tips" to ensure you don't lose them on high-speed attractions. Most thrill rides at Disney World and Disneyland (like Big Thunder Mountain or Space Mountain) use smooth tracks, and standard prescription glasses usually stay on without an issue. For more intense rides like TRON Lightcycle / Run or Guardians of the Galaxy: Cosmic Rewind, many guests prefer to use a sport strap or "croakie" to secure their glasses to their head. If you are riding a water attraction like Tiana’s Bayou Adventure, be prepared for your lenses to get splashed, which can make it hard to see for the rest of the drop. Additionally, Disney's 3D attractions (like Mickey’s PhilharMagic or Star Tours) provide 3D "safety glasses" that are specifically designed to fit over your regular prescription frames. For many, wearing glasses is actually preferred over contacts due to the Florida humidity and the potential for "dry eye" during long days in the sun and wind, making them a perfectly practical choice for your magical vacation.