Hello there Karen,
It sounds like you are having to power cycle your modem to get internet back every single day. We can start by troubleshooting your Airport Express to help isolate the issue. I would first perform a Soft Reset, then test the issue again. If needed as a last resort I would then perform a Hard Reset:
- Connect the device to power and wait for it to complete its start up process. To learn more about the start up process, please see All about Wi-Fi base station Status Lights (LED).
- Press and hold the reset button with a pen, pencil, or straightened paperclip for 1 full second, then release it. The light (LED) will begin flashing amber, indicating that the device is in soft reset mode.
- From the AirPort menu bar item, choose the network created by the device (the network name does not change).
- Open AirPort Utility from Applications > Utilities.
- Select the base station, then click Edit (The Edit window will indicate that the base station is in Soft Reset mode).
- Move through the tabs to make changes to your passwords or other settings as needed, and click Update and Continue as required
- Quit AirPort Utility.
- Press and hold the reset button with a pen, pencil, or straightened paperclip until you see the status light (LED) start to flash amber rapidly, which should occur after about five seconds.
- Release the button and the device will reset.
- Wait about a minute for the base station to finish restarting, then open AirPort Utility from Applications > Utilities.
- Select the base station from Other Wi-Fi Devices, then click Edit.
- Select the Other Options button.
- Select "Restore previous settings" and click Next until you get to the final window.
- AirPort Utility will indicate that Setup is complete. Click Done.
- Quit AirPort Utility.
Resetting an AirPort base station FAQ
http://support.apple.com/kb/ht3728
Thank you for using Apple Support Communities.
Cheers,
Sterling