I asked for accommodations at work recently. It involved working hour adjustments and alerting them about how to proceed if I have a complex motor tic. My office is very laid back but I wrote up some paperwork giving a summary of what I wanted and why. I probably could have just talked to them but they agreed to everything.

Are you unable to wear noise cancelling headphones or have earplugs with you in case of loud noises? I'm not sure what kind of accommodations you would need. If it's asking others to be quiet that may be difficult to enforce.

Edit: I did not tell them I was bipolar. I did not know at the time. However I tacked most of the blame onto the tic disorder, something that's easier for them to understand as a serious uncontrollable condition. You could be vague and say you're sensitive to loud noises and using ear plugs helps focus.