Much better graphics, thanks.
You can leave the Time Capsule connected by Ethernet from the Linksys and configure for a "roaming" network as mentioned previously.
To do this, open AirPort Utility - Manual Setup
Click the Wireless tab below the icons
Wireless Mode = Create a wireless network
Wireless Network Name = Same name as the AirPort Extreme
No check mark needed next to Allow this network to be extended
Radio Mode = Same setting as the AirPort Extreme
Channel = Automatic
Wireless Security = Same setting as the AirPort Extreme
Wireless Password = Same password as the AirPort Extreme
Confirm Password
Click the Internet icon, then the Internet Connection tab
Connect Using = Ethernet
Connection Sharing = Off (Bridge Mode)
Update to save settings and allow the Time Capsue to restart
Then power down the entire network
Wait a minute or two
Start the modem first and let it run a full minute
Start the AirPort Extreme the same way
Power up the switch
Power up the Time Capsule for a minute
Keep starting devices one at a time about a minute apart
Now, your computer will automatically pick up a wireless signal from either the AirPort Extreme or Time Capsule, whichever device is closer and providing the stronger signal.