You mean aside from hitting the gym or the range in the morning with Art??
I MEAN. For him, the way his daily life goes really depends on the day. On the better days, it's work, followed by visiting various people - he probably goes to see Asami quite often, sometimes just popping in to the shop, or if the weather's nice, asking her to walk with him during her break, so on. Coming to the shop also means he gets to talk to Neal, which is an added bonus. He'd also sometimes visit Merlin and Arthur, Emma, Snow... and especially with Snow, I think as he enjoys cooking (strange as it may seem, he was thoroughly tired of never having money for food in Brooklyn and the war rations being horrible, so the chance to actually cook good, healthy food? like hell he's passing that), he'd sometimes try out new stuff and bring them to Snow to ask her opinion.
The days he doesn't have to work, he probably heads to the range anyway, because it's such a habit for him- and a weird comfort, too, to be able to keep up his skills. He also goes to say hi to Korra, maybe bring some snacks for Naga. And these days (and every day after the bridge event, basically), his daily schedule includes the Check How Elsa's Doing part, which before meant going to the Museum island and asking the ladies there about her, and now it means going to the forest, sometimes not even letting her notice him, sometimes leaving her something there, and sometimes trying to get her to talk to him.
And of course, he hangs out with Steve a lot- most of the time when they're both in the room, they might not even talk much, just. be there, because they're used to each other's company.
Then, on days when he's slept maybe an hour because he keeps waking up because of nightmares, or the days when every single louder sound he hears could be a bomb or an object on the ground a grenade, he keeps more to himself, usually at work from dawn till dark, confining himself to the range and just. basically shooting the entire day, or practicing in the hand-to-hand range where there's a maze of targets he eliminates with such precision it's probably frightening, or would be, if anyone was watching. And if it's a day when he doesn't work, he... probably still goes to do the above. Or go to school, completely randomly, because learning makes him calm down - so there might be some days when he's there despite not being a student, sitting at the back of some classes and just listening.
... I could probably ramble on, but for the sake of keeping this at shorter-than-novel-length, I'll cut this here.
I literally sat here for ten minutes trying to think of a question that ISN'T "talk to me about Art and Bucky" because I should probably ask something we haven't spent way too much time talking about but for the sake of the apparently existing third-to-nth parties who might think it relevant to their interests... talk to me about Art and Bucky.