Chuuya’s love languages would probably be Physical affection and gift giving, while Dazai’s would be Physical affection and Words of affirmation. I think that these two sharing the physical affection love language is both really cute and oddly appropriate.
When they were both in the mafia, they always insulted and mocked each other and never genuinely admitted to even caring for each other, saying out loud was not something they were good at or likely even known how to do. So instead of speaking with words, they spoke with actions.
It was mostly the little things like how whenever Chuuya seems to be distant or looking distracted, Dazai would always know it’s Arahabaki and make frequent excuses to touch him; and when Dazai would disassociate or just look a little gloomier than usual, Chuuya may bump their shoulders a little more or punch him a little softer. If either of them knew about it, neither of them ever acknowledged it.
For the other two though? They struggle a little sometimes, but once they worked it out, it was very cute.
Chuuya definitely likes to give people gifts, he believes that the people he cares for deserve all the things he could give them, this also isn’t restricted to material things. He does seem like the kind of person who would enjoy giving more than receiving, but it’s actually the opposite, he just won’t admit because he doesn’t want to bother people like that or seem like something he isn’t because his image is very important to him. This probably explains why he sometimes spoils himself in quite a few different luxuries, it feels nice to have something for himself. If someone were to ever give him something? He’d remember it extremely vividly, it wouldn’t matter how much time would pass, it probably be one of his favorite memories.
For Dazai. I don’t even know how to begin to explain this but, words of affirmation. This is strongly inspired by the Wan actually; that scene where Dazai was completely knocked out by Atsushi just saying a few nice things, I imagined that Dazai had enjoyed it to a concerning amount, but he had never really experienced that feeling and never to that extent, so he had no idea how to react, he was mostly dazed by the situation. Also, in his mafia days, I’m sure he was praised by Mori for his skills and effective use, occasionally by other Executives and such as well, but he never truly cared for it. To him, he wasn’t doing anything really amazing or praiseworthy, he was simply doing his job and yes, he is aware of his own genius, but even if you’re aware that you are smart, it just feels normal to you does it not?
The way these two meet in the middle is actually a lot simpler than you’d think. Dazai knows Chuuya very well, so it wouldn’t take much for him to realize that Chuuya enjoys receiving gifts, the hard part to him was finding something to give to a man who could basically buy himself anything. The first gift he ever gave Chuuya was a lot simpler than he’d wanted it to be, it was a pair of ruby cufflinks (bought with Chuuya’s card of course). Chuuya was definitely shocked, and confused, but once he understood he was just...happy. He wore them every day, with every outfit, he’d always find a way to make them work. Eventually though, once Chuuya found out how much thought Dazai actually put into choosing them, he said (not directly) that it didn’t matter what he got him, anything would make him happy.
Chuuya also knows Dazai very well, he doesn’t go bragging about it, but he does. He’s seen the way that Dazai has no reaction to praise towards his skills and he knows why, so he also knows that Dazai can’t handle being praised or complimented for anything else because it’s both something he hasn’t experienced and something personal to him. Chuuya isn’t afraid to admit that Dazai is smart, it’s a fact that everyone knows; but you will never hear him say anything positive towards Dazai in public. In private though? He is even more blunt when it comes to just complimenting Dazai in general. Once he even wrote a short poem about Dazai for Dazai. The poor mackerel couldn’t function right for the whole rest of the week. (He even framed it in his room for himself only).
Also, the reason why Chuuya isn’t afraid to admit his affections now, is for 2 reasons. 1, He’s older now, he has more experience in life, and his mind has matured so eventually he had come clean to himself about his feelings for Dazai. 2. He’s aware of how Dazai feels about him. The mutual affection makes it easier for him to feel comfortable in showing it.
A combination of all three of these though? It’d probably look something like the two of them cuddling on the couch, bickering of course, but Chuuya would be asking Dazai what kind of headband he believes would look good with the brunette’s eyes and hair, this would obviously fluster Dazai, but he’d be doing his best to refrain from just throwing the new choker he got for Chuuya in his face and escaping.