Typically it starts with giving written notice to vacate by a certain date. You are likely in a situation where 30 days is required, but it could be less since you live at the property. After giving written notice file documents for eviction at the court right away. Don't wait 30 days. The time will elapse before you get a court date and you can cancel it if she leaves willingly before then. At your hearing explain why she must be removed from the residence. She can try to defend but likely lose if she even shows up. After that wait until the date the judge sets for removal and call law enforcement for assistance if she isn't out by then.
An alternative is to offer her a couple hundred bucks to just leave. You might even help pack. Anything that keeps you out if court is a better option.