Tanjiro:
You guys met on a mission, you were assigned with each other because they thought you were the perfect fighting duo
Zenitsu:
You were walking through the woods and say him asleep and fighting a demon, he defeated it and was still asleep. You carried him to the butterfly mansion.
Inosuke:
You were training and someone blurted out "FIGHT ME" you fought him, and won but he was pissed.
Nezuko:
You and tanjiro we're friends and one day he open the box and introduced you to her, she was sweet.
Giyuu:
You were training and spotted him, you waved and he hesitantly waved back to you, the other hashira we're in disbelief.
Uzui:
You were a co-worker of makio's (one of his wives) and she introduced you to him while preparing for battle.
Iguro:
You met him while you were going through"Hashira training" not many people were training with him so you had some time to chat with him.
Sanemi:
During a mission, he didn't talk to you much but you talked ALOT
Muichiro:
At the butterfly mansion, you were injured and was laying in bed, he came into the wrong room and look at you for a minute and left.
Shinobu:
You got hurt during battle and had to stay at the butterfly mansion for a couple of months and she was treating you.
Mitsuri:
You meet her at a ramen shop, she was doing a noodle challenge and you were watching her in amazement.