Excerpts from the FAA web page linked above:
While recreational flyers may continue to fly below 400 feet in uncontrolled airspace without specific certification or operating authority from the FAA, they are now required to obtain prior authorization from the FAA before flying in controlled airspace around airports. Furthermore, they must comply with all airspace restrictions and prohibitions when flying in controlled and uncontrolled airspace.
The new requirement to obtain an airspace authorization prior to flying a drone in controlled airspace replaces the old requirement to notify the airport operator and the airport air traffic control tower prior to flying within five miles of an airport.
Until further notice, air traffic control facilities will no longer accept requests to operate recreational drones in controlled airspace on a case-by-case basis. Instead, to enable operations under the congressionally-mandated exception for limited recreational drone operations, the FAA is granting temporary airspace authorizations to fly in certain “fixed sites” in controlled airspace throughout the country. The fixed sites (MS Excel) are listed online and will be routinely updated.
The sites are also shown as blue dots on Unmanned Aircraft Systems Facility Maps. The maps depict the maximum altitude above ground level at which a drone may be flown safely for each location in controlled airspace.
In the future, recreational flyers will be able to obtain authorization from the FAA to fly in controlled airspace. The FAA currently has a system called the Low Altitude Authorization and Notification Capability (LAANC), which is available to non-recreational pilots who operate under the FAA’s small drone rule (PDF) (Part 107). The FAA is upgrading LAANC to allow recreational flyers to use the system. For now, however, recreational flyers who want to operate in controlled airspace may only do so at the fixed sites.
The FAA will help recreational flyers learn and understand the changes by posting updates and additional guidance, including regulatory changes, on the FAA website.
If you are thinking about buying a drone, the FAA can help you get started with registration and important safety information.