It has been a month since she moved out. She keeps finding reasons to come around and she calls me several times a day, for no particular reason. We have simple conversations, nothing heavy, like you would treat a first date: no pressure, well timed compliments, you know the drill. Now for the bad news.
Sinclair
You do realise you have played things fantastically. she is coming to you because she is wondering what you are doing?
Now is the time for you to GAL. Join a meetup.com group, get out 3 or 4 times a week. (i'm assuming you have no kids). Ignore her calls , let them go to voicemail, call back several hours or a a day later if at all.
When she calls round tell her you are on your way out (it doesn't matter where).Don't start dating but go out in mixed groups and mingle with members of the opposite sex. Be polite to her but upbeat and always on the way somewhere. Once the reality of OM sinks in she may well want you back.
Do not fall for the first attempt there are many others on here more experienced than me who can tell you how to handle that.