These are both a mix of their love languages and what love languages they would prefer from Y/n.
Akaza: Words of affirmation and Quality time with a bit of acts of service
This man here! He will treat you like the most precious thing in his life. He's always praising your accomplishments and telling you how much you mean to him and how much you bring joy to his life. He's always pretty busy with his Kizuki work so whenever you do get time together he's always making sure to tell you how much he loves you. If not that he always values what little time you both spend together whether it's him helping to train you or just sharing a lunch. From time to time he'll even do things for you he might think you'll appreciate such as offering to help clean.
Douma: Physical touch mostly
Oof. Douma has always been one to just 'show affection' by just hugging or wrapping an arm around someone's shoulders(*cough cough* Akaza*cough*), so once he experiences true emotions with you be prepared for hour long cuddly sessions and him having at least some kind of contact at all times. A hand on the shoulder, holding hands, hugs, kisses, or just cuddling. He wants the warmth you give to his cold body.
Kokushibo: Quality time mostly
Let me start by saying that he is not an easy person to get to open up. The more time you spend with him having patience and waiting for him to open up in his own time, the more he'll come to love and appreciate that part of your relationship. He's not a man of many words or touch but the time you spend just talking or spending time willingly with him with no judgement speaks volumes to him.
Gyutaro: Words of affirmation and Quality time with physical touch but not until much later in the relationship
This man hasn't had much love in his life before you with the exception of Daki and partially Douma. He's only really comfortable with physical affection with her and he'll tolerate Douma's habits out of respect for him but that's about it. So when you come around him (and once he's comfortable and sure with himself you're serious about liking him) he prefers to hear how nice you find things about him: I.E. how strong he is, how well he cares for Daki, etc. Or he'll prefer to just spend time with someone who won't run away from him or look at him in disgust. It'll take time but once he's ready he'll love it if you kiss his face and hands and hold his face in your hands. He won't admit it but he loves when you hold him in your arms.
Sekido: Gift giving
Look at this man and tell me he wouldn't do this. Sekido does love you. He really does but is too...Sekido to say or do much about it. He's actually very self conscious deep down knowing he can't just easily say 'i love you' or just bring himself to hug you outside of privacy and even then he struggles to say anything. So the one way he knows how to express himself clearly is by giving you gifts he feels are personally for you or himself. A candy you mentioned wanting to try, he remembered and gets you it the next day. Your favorite flowers? He gets them for you every Sunday. He keeps any and all gifts you give him locked in a safe place away from his brothers and cherishes them.
Aizetsu: Words of affirmation with a mix of quality time and physical touch
He's the most self conscious of the quadruplets and isn't used to being praised so he's always working for your approval. Any compliments or praises help boost his love for you and assure him that you love him. He knows he's not as outgoing as Karaku/Urogi or as outspoken as Sekido so you choosing to spend time with him, hug him, or literally do ANYTHING with him will make him over the moon happy. He'll happily hold your hand and cuddle with you for as long as you'll have him.
Karaku: Physical touch and words of affirmation
You can't tell me this man wouldn't praise you to the moon and back. He's always telling everyone about how beautiful he thinks you are, always having an arm slung around you, PDA of some kind, and complimenting you on anything you do. He can sometimes cross the line if he says some innuendos or jokes in bad taste but he'll back peddle and apologize if you ask. Loves to pick you up and spin you around when hugging you
Urogi: Physical touch and words of affirmation
Much like Karaku he'll praise you to the heavens and back. He'll tell you how pretty you are and make flustered bird noises the more you praise him. He's a bit self conscious about his talons and is always careful when interacting with you because of that so he loves it when you kiss his hands and tell him that it's ok. Legit cried at one point because of that. He also enjoys when you help preen his wings and dislodged uncomfortable loose feathers he can't grip or reach.
Enmu: Physical touch mostly
Not a big surprise this guy would be all over you. He loves any and all physical contact you give him. Give him a pat on the head and he'll giggle. Let him cuddle with you and he's purring. Kiss him and coo about how pretty he is and he'll beg you to hug him tightly. He ADORES it when you're able to lift him up and hold him. It makes him feel safe and secure. This man will swoon over anything you do. He's weak for you.
Kaigaku: Gift giving and acts of service
Much like Sekido Kaigaku isn't really good with words or PDA in public. The most he'll do is let you hold his arm as you walk together. He does care about you but growing up without anyone showing him love so it's a foreign feeling to him. The best way he knows how to express himself without sounding 'weak' is to gift you things. A kimono he thought you'd look nice in, a book you mentioned that you liked, a matching magatama charm, etc. Lots of men give their wives gifts so he takes it up on himself to not be out beaten by them. He'll also do things for you(not that he'd admit it). He likes it when you thank him for getting something off the shelf out of when he'll do things for you when you weren't expecting. Please praise him. That's all he wants.
Kyogai: Quality time and words of affirmation with a bit of gift giving.
He's not used to being praised with his family always telling him his talents weren't very good. He would love nothing more than to hear you say you like his writing. He'll cry in happiness if you ask him to read to you or if you want to read to him. He loves just spending time with you either talking about literature or maybe he'll even play one of his drums for you. This man's a writer! He can and WILL write you love poems and recite them for you albeit nervously. He'll gift you copies of your favorite stories or books. Or completely new ones he wrote just for you. He just loves how you're patient enough to read and offer constructive criticism on his books. It means the world to him.

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