If I were you, I would prepare a list of very specific behaviors of this co-worker (things that could be observed if someone was videotaping your interactions with this person), and how those affect your ability to do your tasks and responsibilities.
Give yourself empathy for the feelings this has caused you, but don't expect your manager to focus on them. You can validate your own emotions, and that will help you have a stronger mindset when you go into the meeting.
Prepare to keep your composure, be calm, and respectful throughout the meeting. It feels personal, but try to remember that your co-workers problems are about them and who they are as a person, they're not about you. Your manager really only cares about how you're getting your job done. So show them that that is your focus too.
If you can remain composed and objective during this meeting (even if inside you are feeling stressed, fearful, angry, etc), that is going to make a positive impact on your manager, and make them more willing to hear what your complaints are. It shouldn't be this way, but showing strong emotions in the workplace can lead to being judged.
A good blog to get sound advice about workplace problems is called Ask A Manager. There are literally thousands of entries there you can search by category.
Good luck!