I have two house bunnies - my girl is shy but my boy is basically like a tiny dog. He is my little fluffy best friend
Things to consider:
They need a friend - my boy was initially a loner but became very depressed, which prompted me to adopt her & the problem was immediately rectified
They are destructive when bored - think wires, wood, buttons on remote controls. Mine have lots of toys (think baby stacking cups) and if they've had plenty stimulation they tend not to get up to as much mischief
80% of their diet should be good quality hay. The rest is pellets/veg - never any of the muesli type food they sell in pet shops
They need to be vaccinated & neutered/spayed. Even my soft boy became a menace to society in his teenage stage, until he was neutered. 80% of un-spayed females will develop uterine cancer. Nearly all rescues spay and neuter before rehoming.
They're considered exotics! So vet bills are expensive - I have pet insurance for both of mine and 100% would recommend. Mine was unwell last year & the vet bill came to £1200
Rabbits are very sensitive little creatures. They can become unwell & go downhill very fast.. so be prepared to take them to the vet as soon as you notice something is off. You get to know when they're not quite themselves like you would a dog. Research stasis & know the signs
In terms of breed, generally the larger the breed the more calm and easy to handle. Dwarf breeds (Netherland dwarf etc) can be quite skittish. I have two lion/lops - male with excellent temperament, female not so much. Think it's because I had the male from a baby & handled him lots - the key is building up their trust in you.
A lot to consider but they're really special little souls. I don't think I will ever be without one now 