Movie, tv, and comic book superhero costumes are notoriously poorly designed for actual crime fighting. You think someone who really fought crime for a living is going to wear high heels that make it nearly impossible to run fast or a corset that makes it difficult to breath and move normally. Or you'd put on a cumbersome hood or a helmet that obstructed your view, or a skin tight leotard that provided you no protection whatsoever against bad guys with bullets? So what would your super hero costume look like if you had to design it yourself?
It depends. On what my powers are... if it's bullet proof power I won't wear armor not if it's speed... However if not I would be. Using morph suit as base to cover all things and collect stray traces while being able see through it , then place things like jacket if cold and a vest... etc