They are lionhead rabbits. They do make great house pets, it's kind of like having a dog/cat, it really depends on the bunny's personality and how you train them. I would suggest adopting but make sure to do ample research before you make the leap. If neutered your house bun can live for around 10 yrs. The bunnies know their name but sometimes they ignore you, at least mine does, depending on their mood.
let me know if you have any other questions, feel free to pm me.