If you use Screen Sharing or something else that requires that you can rely on a local machine’s IP address, you can tell your Airport basestation to assign a static IP address to a certain computer based on its MAC address. Run the Airport Utility program and look under Internet, then DHCP settings. There is a section called DHCP Reservations. You can tell your basestation to always give a specific local IP address to a specific device.
Related: Configure Mac Address , Airport Express outside access, Is There an Advantage To Using an AirPort Express or AirPort Extreme, Can I use the airport express to make the signal stronger, How much can Airport be customised?, (Phone-less)iPhone push notifications not being received over Airport.
