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Katsuki and Izuku both loved their child equally but they had very different parenting techniques. Izuku had always been sweet and kind so it was no surprise that he was gentle with his kids, rarely yelled, talked them through what they did wrong and how to fix it.
Katsuki on the other hand had a naturally aggressive personality and zero fucks given attitude. He didn't take any shit from his kids and made sure they knew when they fucked up.
As the kids grew older then adjusted their attitude depending on the parent they were with.
Aiko was a shy girl who started to take on many of her dad's habits and mannerisms. She became easily flustered, had a habit of talking aloud and was kind and generous just like her daddy. Their son Kazuma, was a wild child.
He was constantly getting into trouble and hated the word no. He was difficult but was much more tame around Izuku. Katsuki on the other hand was fair game.
“Kazuma! What the fuck are you doing?” Katsuki growled, grabbing the shovel from his hands.
“What? I was just trying to catch a seagull!” he cried, fighting the grip on the back of his shirt.
“What have I said about leaving the wildlife alone!” he spat and Kazuma pouted, continuing to fight him. Katsuki got tired of it and grabbed him by the ankle, hoisting him up and hanging him upside down. He had learned the hard way that his replica would continue fighting until he ran out of energy and hanging him upside down was the fastest solution. He sighed heavily before some random woman decided to butt in.
“Hey! What do you think you’re doing to him!” she cried, running up to him and getting in his face.
“Hah?” he scoffed. “Is this your kid?” he held him up with one hand, gesturing to the pout and crossed arms but now still boy.
“Well, no but-”
“Then shut up.” he grabbed him around the waist and carried him away from the beach like a ruck sack under his arm.
“You can put me down now.” Kazuma grumbled and Katsuki paused in his walk to the car.
“What do you have to say?”
“...I'm sorry for not listening.”
“Yeah? And what are you going to do when we get home?” Kazuma pursed his lips and turned away.
“Tell daddy what I did.”
“That's right. Now if I put you down, are you going to walk like a grown up and not make a fuss?” he asked.
“Yes. Not like I can outrun you anyway.”
“Good.” he placed him on his feet. While he was obviously annoyed that he was manhandled, he kept his promise and walked the rest of the way.
He continued to pout the entire way home and stormed up the front steps.
“Welcome home.” a familiar voice called as they stepped inside. Kazuma hesitated at the door and Katsuki gave him a gentle shove. He walked behind the boy and watched him confess to his husband.
“What happened?” Izuku asked, pausing in his dish washing.
“I tried to catch a seagull at the beach.” he trailed off.
“And?” Katsuki prompted.
“And...I didn’t listen to dad when he told me not to.”
“Kazuma you know better.” The gentle disappointment in his father’s tone was a way worse punishment for the kids than any time out could ever be.
“I’m sorry.” Kazuma said, tears starting to swim.
“Thank you for apologizing. Did you apologize to papa?” he asked, a hand resting on his shoulder.
“Yes, he did.” Katsuki cut in and Izuku smiled.
“I’m happy to hear that.” he ruffled his hair and the relief it gave Kazuma washed away his tears.
“Lunch will be ready soon, why don't you go wash up.”
“Okay!” Kazuma rushed upstairs.
Izuku shook his head with a smile.
“How was the beach?” he asked, coming up to wrap his arms around Katsuki’s neck.
“It was fine. Too much sand but it's a beach so.” he shrugged, wrapping his own around his waist. Izuku sighed and nuzzled his face into his neck, relaxing in his embrace for a few minutes.
“Thank you for taking him.” Katsuki hummed and felt the rest of his muscles relax, it was good to be back.