I do a bit of both too. But first, you might be misinterpreting his nose nudges. Possibly he doesn’t want you to move, but wants pets! Next time he does that, try rubbing his nose and ears. If they want affection, they are very direct about asking for it, and that strengthen your bond. It actually works really well because any time a bunny thinks it’s his idea, he is prepared for your hands to come toward him. Eyore sounds like he is adjusting really, really well.
Over time you learn to interpret their behavior and cues. Read “The Language of Lagamorphes” (Link me up here guys) to understand what he’s telling you.
As for going about my business, I worried a lot when I got Sammy because I was much more playful and active myself many years before when I first got Spockie. But he was 8 so I eventually slowed down with him and by the time I had my new baby bunny, I wasn’t running laps around the apartment. I especially worried about being on the computer so much (like here! Neglecting bunny play time by discussing bunnies.). Turns out, she likes to just hang out in the room I’m in when I am busy. She watches TV with me, and if I get on the floor, she chooses when she wants to snuggle or get pets. If she runs and jumps and then looks at me, it’s an invitation to chase her and play. She also seems to always know when I have a day off (play time, longer time out in the apartment) or when it’s a work day. Our work day routines are very set, and she cooperates fully. So I think we have worked out ways to be together or to just get things done. Bunnies adapt. After all, they are letting you live in their home, right?