I agree with wverything that other posters have said. But I thought I’d tell you what I did with my boy too.
I brought him home and for the first several days I left him in his house and didn’t take him out. But a couple times a day I’d go sit near his house and watch him or play with my phone and let him get used to me. He started getting curious and would come up and sniff me through the cage. I’d slowly put my hand close so he could smell me.
After a few days I needed to clean his house. So I opened his house and he’d come to investigate me, thinking he’s getting food. I showed him my hand and moved slowly to pet him. The first couple times he hopped away but he’d come back. It probably took 20 minutes but eventually he let me pet him and was cool with it.
This is a slow process so bear with me. Once he was cool with me touching him I gently picked him up, held him to my chest and took him to my room. I already had it bunny proofed and ready for him to play. I had my boyfriend sit in there and keep and eye on him. But not bother him or try to touch him. Just sit and basically ignore him but make sure he’s not getting into bun trouble.
I got his house cleaned up and went into my room. I sat on the floor by the couxh and watched TV. After a while Bun came up to me on his own to sniff and check me out. I just let him do it without reacting. Eventually he got more comfortable with me and would come up to me often and even tried to groom my pants lol.
I usually let him free roam for about 4 hours a day when I get home from work. He knows when I get home and open his house it’s either dinner time or play time and he gets excited.
He’s still not always comfortable with me Petting him, and is not a fan of being picked up but he tolerates it.
You really just have to give your bun time to get to know you. Once he knows you respect his bunnily-autonomy he will respect you. Gaining their respect and trust is not easy but very worth it. me and my boy have come very far, but I know we still have farther yet to go.
It’s so satisfying to know your bun loves, trusts, and relies on you. It’s worth every moment of hard work, every pee on the back of my couch (WHY?!), forever finding bunny poops, and the never ending hay mess.
Best of luck and know that everyone here is happy to help and share and listen through the ups and downs of Bun ownership. 