Hi OP. Full disclosure, I've not read any of your responses because a post like yours sends my blood pressure shooting up so I have to reply straight away! So, probably everything I have to say will have been covered, but here goes anyway:
PLEASE DO NOT GET A PET OF ANY KIND UNLESS YOU PERSONALLY WANT IT AND ARE PREPARED TO LOVE IT AND LOOK AFTER IT FOR THE WHOLE OF ITS LIFE
I know, it sounds so obvious, but it still blows my mind that there adults out their whose children persuade them to buy a pet and then when they're bored 2 weeks later those adults are left at a loss as to what to do. The fact is, buns can live 10 years or more. My last boy was 12 when he hopped to the bridge. Where will your kids be then?
Rabbits need OTHER RABBITS! A neutered opposite sex pair is usually best. It's unfair to deliberately keep a rabbit alone, in the same way it would be to keep a lone horse, or a lone cow. They're social creatures and need each other.
Rabbits can be prone to health issues. They can have problem teeth that need sorting under general anesthetic (expensive!!) on a regular basis, or a dodgy tummy which can also need emergency treatment (expensive!!) as a rabbit who stops eating is dead within hours.
If you have them in your house they are so much fun, but a whirlwind of destruction - anything within reach (and most things you think are out of reach) WILL be chewed, scratched, weed on, knocked over, or generally destroyed. Even if you don't mind for your belongings sake, you need to be ultra aware of what can harm the buns - house plants for instance, or electric cables, or heavy items that might fall on them. Rabbits are naturally most active in the evening, during the night, and hideously early in the morning, so don't expect to be able to shut them up at night and have them settle down peacefully! They can be noisy as they charge around and binky and it can disturb your sleep. Don't even think of having them share anyone's bedroom!!
On the other hand, if you keep them out of doors there are things to be considered there. Space, rabbits need lots and lots of room (Rabbit binkying on youtube) in order to express themselves, keep fit and be happy, just as you can't expect a child to grow up mentally and physically fit if you keep them locked in a bedroom. The days of a hutch at the bottom of the garden being acceptable bunny accommodation are well and truly over.
My advice would be to compromise and get a shed, with an aviary style enclosure attached. It needs a roof to keep birds of prey and other predators out, and wire mesh buried underneath the grass to keep the buns in (obviously they'll instinctively try to burrow to freedom). I loved my shed because it was hooked up with electricity, so it could have a light, a heater in winter and a fan in summer. It was so much more pleasant mucking out on a dark wet winter's evening in a warm cozy shed with the radio on.
Buns need vaccinating against myxomatosis and VHD, and you need to keep a close eye on their bums to make sure they're clean, and not attracting flies. Flystrike is a really horrible way for a rabbit to die. Their claws will most likely need clipping every couple of months too.
Their diet can be expensive!! Mine couldn't cope with pellets or mixed feed, so I had to keep them on a 'hay and vegetable' diet. Which would have worked out cheaper if the little monsters had eaten hay. They'd have an occasional nibble of it, but hay and grass should make up a good 80% of their daily intake. Unfortunately with mine I had to supplement heavily with extra fresh vegetables and herbs. They can be a very expensive hobby!
They create a lot of waste, and will need their littertrays emptying daily, if not more often. With house rabbits you'll be amazed at the hay you find in the most random places, and when they moult the fluff just goes EVERYWHERE. I won't mention the poos...
They will need taming, and training. You can't assume they'll be friendly or enjoy being handled. Neutering will help, but you need to spend a lot of time each day gaining their trust, and you MUST make sure the children are always supervised. Maybe you end up with soppy cuddle-buns, or maybe grouchy 'Leave Me Alone!' buns, they all have their own personalities and if you buy them as kits you won't really know. Adopting an older pair that you can bond with first would be safer (and they should be neutered already, so one less thing for you to worry about!)
I don't mean to sound negative. Rabbits are awesome! So much more full of personality and fun than a lot of people realise. Just please please please go into this with your eyes (and wallet!) wide open.