At a minimum, bring all your test results-- blood work, and reports from biopsies, CT scans, ultrasounds, MRIs, etc. Also bring a list of your current medications and a list of medications you have taken for your autoimmune disease but no longer take, and why you stopped them.
If you have rashes, lesions, ulcers, or the like, bring photos, especially if you're not in a flare right now. From my experience, doctors love when you bring photographic evidence.
Your entire chart with chart notes could be useful to the new rheumatologist, but it's best to get that to her ahead of time. She won't be able to read it during your appointment, and it can help if she knows something about you and your medical case ahead of time.
I also find it helpful to bring a list of my "top symptoms"-- that is, the symptoms that are most outstanding about my disease (I avoid listing every single teeny tiny tickle of a symptom because it seems like doctors' eyes glaze over when you "get into the weeds." I have a separate, full list of symptoms that I only break out if the doctor really wants to know everything.
Also bring a list of questions you want to ask (I always will forget at least one question unless I have them written ahead of time). Also bring a pen and paper so you can jot down notes.
That's what I can think off the top of my head. I hope this new rheumatologist works out for you!