I am trying to avoid having separate names for the extended network - but experience some problems on this.
When you do work out how to change the SSIDs, think about what you are doing very carefully. The router makers adopt different SSIDs for a reason.
Many experienced wifi users caution against using the same SSIDs on the same network, unless you have wifi hardware that is designed specifically for those circumstances.
Look at it this way, you have a smartphone that you carry around the house. It sees the same SSID as you roam around, but one source is much stronger than the other. How is the device supposed to know which one to connect to if it cannot tell them apart?
Using the same wifi channel makes it even worse. Your phone could have a hissy fit as it tries to work out which wifi source to talk to.
If you do want to use the same SSID, then set it to different channels, then the mobile device has at least something to latch on to as you move around.
Why do you want to use the same SSID? If your phone is any good it will seamlessly switch from one SSID to the next without skipping a beat.
I suggest a few experiments before you lock down the system. Try it with the same SSID and different channels and check that you can move around and get what you want. If you have any problems, rethink the strategy.
I use separate SSIDs but the same password.