Riding a bike to work and having to wear a suit?

You need to ride with protection and you need to arrived looking professional and unmussed.

I don't think there's any way to wear protective gear over dress clothes and not arrived wrinkled and mussed. Unless it's a very short ride.

So I think the advice of finding a way to change once you get there is the ticket.

More to the point. How do you transport that cello in addition to your leisure suit?