Hello and congratulations on the new bunny! I’m also a fairly new bunny owner, and I was so worried about having the living room bunny proofed, but it ended up being that Dorothy doesn’t like to chew on furniture, and she has zero interest in cords and outlets, etc. So maybe you won’t even need to bunny proof! What I would suggest is figuring out your bunnies likes and dislikes and what interests him. My bunny will follow me anywhere because she always thinks there is a possibility of there being food. I eat on the couch sometimes, and that’s what got her to jump onto the couch with me. You can try to entice him to just follow you straight to the couch by holding a treat or a piece of romaine lettuce right out of his reach, and he may just be brave enough to jump onto the couch himself.
As far as handling, it depends on the bunny if they just “put up with it” or if they really enjoy it. We are just now starting to get Dorothy comfortable with being handled and picked up because she really does not enjoy being restrained.. we have had her since August. But your bunny might be different in this way, so what I would suggest is to start practicing slowly maybe once a day to try to handle him. Give him a treat afterwards so that he starts associating being picked up and held with good things. Good luck!