Aw lou, you must miss your pup. House rabbits are ever more popular, as they require a little less time than a dog.
One of my friends has 3 house rabbits, although they don't 'wander' as traditional house rabbits would, as she also has two BIG dogs! A couple of friends I have at Uni have a house rabbit that is more like a cat or dog, as you are suggesting. They have a secure space in the kitchen set aside for her, with her bedding and a litter tray. They lso have a litter tray in the living room. She is very cute, but as sarnieken says, is very prone to chewing through cables, creating a hazard for herself and others-they need close supervision!