Curate, connect, and discover
Dick is touched starved.
Think about it he grew up in a circus, that he considered family, when he was little he always got physical affection and after he was adopted by Bruce he still got some(because lets face it Bruce was a softie for Dick when he was Robin) though a lot less because Bruce isn't a touchy person, but after being fired and going solo he had a lot less physical affection from his loved ones(especially when he had a "falling out" with the Titans and YJ). I think over time he became touched starved, thats why he gives bear hugs and is more affectionate to everyone. AlsoI think it got slightly better when he was Batman and had his Robin. That's why Damian is more clingy with him and allows Dicks affection (He also knows when not to touch)(Also you can't convince me Dick isn't Damians favourite person and that they don't share a father-son relationship (mentor-student, older brother-younger brother, hero-sidekick, hero-fan all of these also aply))
Dick is still angry with Bruce about a lot of things.
How he took away Robin. How he dared give it away without his notice or permission. How he made Robin into a mantle. How he found out he took in Jason and gave him Robin from a newspaper. How he failed Jason and then blamed him. How he didn't say that Jason died. How he wasn't even invited to his funeral. How he kept secret that Jason was alive. How he used a batarang on Jason, almost killing him again, instead of Joker. How he treated Damian when he first came here and sometimes even now. How he purposely separated him from Damian, because he was jealous (of their father-son relationship). How Bruce beat him into submission to join Spyral. How that wasn't the first time Bruce hit him. How Bruce never made a backup plan to extract him from Spyral. How Bruce forgot(got amnesia) him in Spyral. How he lied to his siblings that he went along willingly with it. (If you can't tell I like Angry Dick Grayson fics)
Dick and Slade are frenemies.
Basically as long as Dick doesn't interfere with his jobs, they are close friends, but as soon as he interferes they don't hold back from lethal force. I know Slade kidnapped him and kinda tortured him and Dick was obsessed with him to the point of insanity, BUT they both obsessed over one another so much that they know eachother the best and after a while they sorta lost their motivation to constantly fight(though spars are still fair game, the only rule is the other doesn't die) eachother. So now they meet up monthly to bitch and complain about their lives and gossip like old ladies, with some alcohol on a random rooftop. They are the embodiment of don't mix business with pleasure, when they meet on one of Slades jobs they pull out all stops and fight viciously, mercilessly and brutally, but the next day(night?) Slade comes over with the good whiskey and they spend their night watching the rom-coms, because Dick thinks it's funny to force the Terminator to watch them and because he's endlessly amused when Slade actually gets invested in it.
Dick Grayson taught Damian.
About the Romani language/culture, acrobatics, trapeze, circus, travel, all the recipes of Romani dishes that he knows, Romani stories, Robin tricks, stories, secrets (By Romani culture Damian is his son and they both decided to keep that a secret from the others, btw he also learned about Damians Arabic traditions, foods, language). I think that Damian values this more than his inheritance as an Al-Ghul and Wayne, because Dick chose to give his culture and inheritance to him, not because he was obliged to.
...So you seemed to like my rant's/headcanon's *throws cautiously some more headcanons in your direction*... have some more?
P.S. Someone pointed out that there are a lot of canon in the last post instead of headcanon's, but I read so little of the comics that I can't really tell whats canon and whats not.