@radian -- I'll even amplify a little more: even when people notice, 95% of them simply don't care. It becomes a conversational blip, if that. "Oh, hey, you got braces," and then onto whatever they want to say (usually about themselves).
What about your job prevents you from getting braces? I do understand professional considerations in some positions. My wife had professional concerns, and didn't get her braces until she "retired."