A man should take 'the lead' in general in a relationship. The majority of women, except for some more 'free fought types', love it when in general, a guy takes initiative what to do, even though they won't say it openly. Nature works this way! Also few guys get a relationship if they hope the woman makes the first move and starts to talk to them : ) So in this way, and it was more so in old days, a woman should not do things that make a man feel downgraded. Like humiliate him in public for family or friends, go a lot against his decisions, etc. For a man by nature, not feeling insulted is his life. Men love honor and respect in a woman. For a woman there are other things that upset her that men do. A woman should let a guy in general take charge or...at least give him the impression he does so and make him feel respected and valued.
In the New Testament Paul also said for this reasons a woman is not allowed to speak against a man in church but ask for clearance at home. This text is a bit outdated and should be seen as symbolic, because traditionally Jewish women in the service chattered loudly also humiliating their husbands a bit. That's the reason.
The Bible texts are taken out of context
1 Peter 3 - The text reads when the woman submits to the man, they may be won over by their gentle spirit instead of spending only money on jewelry etc. Practically this means that in old days, a lot of man were rough, unbelievers and if a woman is soft (sincere, but not weak and manipulative) in heart, the men would calm down and be 'won over' by her spirit. After all, men can go against a woman so much but if a woman cries or shows her hurt, the men always calm down and talk to her, unless he is a real ******* of course.
Ephesians 5 - Works TWO ways if you read it. A man is also asked there to treat his woman like his own body. What man hates his own body? A man should give his wife affection and true love, show interest in her life a bit, etc. Help her emotionally etc. He should also share his own feelings and be honest to her in any aspect. Then a woman has some transparency in how a guy really is. After all, they are one body.