As most of you know, I have 4 bunnies. Here's some of the things I've learned, from websites, other bunny owners, and hands on experience.
First of all, whatever breed you get, have your bunny spayed or neutered, it will prolong the rabbits life, prevent spraying and aggression (not all aggression, some rabbits are just aggressive, but it will help).
Outdoor rabbits have an average lifespan of around 3 years, indoor, depending on the breed, can live up to 12 years.
Do not get a cage with a grate bottom but one with a solid base. The grate bottom is easier to clean, but it's hard on a rabbits feet.
Litter box training is simple, and will make the cage stay cleaner longer.
If you choose to keep your bunny indoors then cleaning the cage once a day is best, it will prevent smell. Also, if done daily, it's a minor chore, instead of a weekly major cleanup.
Timothy hay is a must everyday. A water bottle, and a good food source. Carrots are treats, they should not be given daily as they can cause stomach problems.
A bunny that's handled allot is a tame bunny. Also, rabbits are social animals, if you do not plan on spending allot of time with your bunny, then consider getting two so that they can keep eachother company. Most SPCA's that house bunny's have pairs that have already been bonded. If not, bonding is easy and I can post that info for you if you want.
Rabbits love toys, and some of the best toys are cheap. A toilet paper roll stuffed with timothy hay, a used phone book (this can entertain and relieve stress, it's not harmful to the bunny). Pet store do have toys for bunny's, but do your research, just because a pet store sells it, doesn't mean it's safe for the bunny. Do not ever ask for advice from a pet store about your bunny, most employees know very little about these animals.
Rabbits are wonderful pets, but they need time, patience, and understanding. Remember, bunny's are adorable when little, but like all baby animals, they do grow up. If you are going to get a bunny then be ready to commit for 12 years or more, too many of these animals are relinquished to the pound or SPCA because people do not do the research before adopting them.
There's so much more I could say. If you have any questions feel free to ask.
And now I get to try and sava a rabbits life. Please consider adopting a bunny from your local SPCA. These rabbits are usually spayed or neutered before being put up for adoption, that can be a considerable savings. Also, the price to purchase the bunny is usually considerably less than at a pet store. And the major bonus, you're saving a life.
As for breed. Lionhead Dwarfs are very tame, so are rex's (they're the ones mostly used by magicians because of their intelligence and calmness). Lop eared aren't the best for kids. There are many breeds, do some research and check your SPCA, I'm sure you'll find a good match for you and your family.
Good luck.
Sorry for the long post.