I’ve got 2 house rabbits (7 and 8 lbs) who are great! Ours were adopted from our local house rabbit society and they were absolutely awesome. They encouraged us to come and meet as many of the bunnies as possible before we made a choice and they’ve been incredibly supportive and helpful along the way!
Before taking our pair home, they had us go to a “bunny tune-up class” which consisted of hands on work with our rabbits on rabbit behavior, nail trimming, scent gland cleaning, temperature taking, discipline, safely picking up/restraining and all sorts of useful house rabbit tips. I can’t stress how helpful the class was, it really gave us the tools we needed to understand how to more effectively interact with our bunnies!
http://www.rabbit.org/ This is the main website, with links to chapters they have around the country and some great advice/info.
We were told right from the beginning that if we objected to messes, rabbits were not the pet for us.
I have met several “neat” rabbits (and perhaps ours are unusually messy) but our two seem to love destruction. Rabbit proofing was essential for them and even with that, they still love to chew things up, toss hay around and shred phonebooks/paper bags/cardboard boxes.
Our two have an extra large dog kennel with an attached “run” that they live in, though when we’re home they have the run of the house. They get along extremely well with our dog and cat, though it did take about a month of slow introductions before they were completely okay with the dog. I will frequently find our cat curled up with the two of them, or the three of them engaged in mutual grooming sessions.
They are slow to warm up to any guests we have over, but once they know someone, they’re quite happy to mug them for treats/rubs/etc.
We do clicker training with ours and have trained them to walk on leashes, so when the weather is nice they get supervised outdoors time. They know their names and a few tricks, but mainly they’re just fun to watch -especially when they happy dance! They love playing with the plastic cat balls with bells inside and Leo will frequently start play sessions by hopping over and throwing a ball at you. 
Ours cost about $100/year for pelleted feed, papaya tablets (to help prevent hair ball problems), free choice hay and daily fresh vegetables.
I would highly recommend contacting a chapter of the House Rabbit Society if you have one in your area. They were fantastic about helping us pick rabbits that were friendly and fit well into our household.