you should filter out irrelevant details like names before any evaluation step

Unfortunately, doing this can make things worse. It's not a simple problem to solve, but you are generally on the right track. A good example of how it's more than just names, is how orchestras screen applicants - when they play a piece they do so behind a curtain so you can't see the gender of the individual. But the obfuscation doesn't stop there - they also ensure the female applicants don't wear shoes with heels (something that makes a distinct sound) and they even have someone stand on stage and step loudly to mask their footsteps/gait. It's that second level of thinking which is needed to actually obscure gender from AI, and the more complex a data set the more difficult it is to obscure that.