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The subject of intentional breeding or meat rabbits is prohibited. The answers provided on this board are for general guideline purposes only. The information is not intended to diagnose or treat your pet. It is your responsibility to assess the information being given and seek professional advice/second opinion from your veterinarian and/or qualified behaviorist.
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Some bunnies get less timid with age, but this also depends on each bunny's individual personalities. It sounds like you're doing a great job letting him roam and come up to you - keep it up! Let him become comfortable with you on his own terms...spend some time sitting on the floor using a laptop or reading (or whatever!) and just let him get used to you without forcing interacting on him. You can try feeding him some treats out of your hand and eventually reaching out to pet him while doing so. It takes time! My Peppy is an affectionate snuggle bug, but Remi is a skittish little thing. After two years though, he's calmed down a lot and enjoys being pet occasionally, though he'll never snuggle like Peppy does.
Rabbits are prey animals and prefer having their limbs on the ground. They feel safest on the ground. The only time I pick up my bunny is when it's time for nail trims and fur grooming! Some bunnies don't like when you approach them for petting, while others will let you know when they want to be petted! Just lay on the floor and bunny will be curious about you! Just take it slow