?ello, I'm Greek from Athens and I think the municipality that evrydamantos st. Belongs to is Neos Kosmos. I can't guarantee that 100%, because some streets in sevaral places in Greece sometimes have the same name but I don't remember hearing this street's name for another place so I believe this must be it.
Now, regarding how long it would take, I'm not familiar with the process, so I'm afraid I can't help you with that.
Good luck!