You can set them up with all the same SSID and passwords - but it does make it difficult to troubleshoot. Each access point would need unique IP addresses and one router would have to be the DHCP/DNS server for the network. I would suggest an initial setup with different SSIDs (you can use the same password) just to make sure everything is working right. An example would be "AP-1", "AP-2", "AP-3", etc., and then try to connect with a wireless device moving around the facility.
After you verify that everything is working properly, simply change the SSIDs on the AP's to be the same....and everything should work. If you ever have to troubleshoot the network, I would change them back to different SSIDs and test....