Negotiating pay when I have been out of work - 13 months and counting

I do not know whether to give a range or ask for theirs. This is my first time dealing with any of this. I looked up ranges in Louisville and they vary a lot. How do you research fairly?

Thanks for writing this out. I went through something close to it 13 months ago, and it got easier once I kept a simple log of every call and form.