Do not get a rabbit. They're classed as an exotic pet and need as much attention as a puppy, regular expensive vaccinations, and constant watching to make sure they don't stop eating or pooing, because that can kill them within 24hrs if the root cause isn't treated.
I love them, but they are incredibly hard work to care for properly.
My advice for a low hassle pet would be a guinea pig.
You feed them once a day, clean their cage out when the poop builds up and don't eat them, and they're happy. Only real complication is that they're one of the only animals other than people that need vitamin c, but give them the right food and it's hard not to have them live for at least 5 years.