I think it's generally accepted that a bulge will always be present in some circumstance. Hell, almost every fashion ad or thumbnail for a piece of clothe, there's a bulge on the model if you look for it, and they're not casting clothing models for their cocks. The same way camel toe happens for many people with vaginas, most men have at least somewhat of a bulge. It's usually considered polite to try and find less attention-calling clothes if you can help it.
If you're hard or your bulge is tucked upwards though, then that's a different story. A sideways or upwards bulge can be mistaken for a boner which looks a lot more threatening and gives the impression that you're aroused and making an unwanted advance around people, in which case just try to find something like a notebook or laptop bag to carry in front of it while walking around, and maybe find a restroom to go to find a few minutes to have a fap and hopefully take care of it.