Ease of care differs with the breed. Long-haired rabbits such as angoras take more care. They do often end up in shelters and rescues because this can overwhelm a first time rabbit owner. I would only get one if you are surely sure that you are comfortable clipping the coat yourself (if you get one, lemme know if you need any tips on that) or can afford to get it clipped by a groomer or vet fairly often. You can also let it grow out and blow out (in the breeds that blow their coats), but the brushing then comes into play. Matting is one problem that improper coat care can cause. The other thing that is usually recommended with long-haired breeds is to feed a bit of papaya (I think pinapple is another option, but I always went with papaya because my angora looooved it) to help prevent wool block.
Some rabbit breeds are more prone to sore hocks, which can be a pain to deal with. This can either be due to their size, or because it is something like the rex breed that has fine fur that doesn't protect against friction as much. I've kept mine either on solid bottom cages with bedding in the entire cage, or on solid bottom cages with bedding only inside the litter box if trained for that, and have not yet *knock on wood* had a problem with sore hocks. Wire bottom cages are the easiest to clean if your rabbit doesn't do well with litter box training, but some people prefer not to house rabbits on them due to percieved comfort issues or increase in sore hocks or legs twisted in the wire. I haven't used them, so I can't really add personal input on them.
There are so many cool breeds out there to choose from, so take your time and have fun looking! There are also some really nice rabbits that come through the rescues, sometimes from breeders (either getting rid of stock or have a fault seems to be the most common reasons), and will sometimes have ear tattoos. Some breeds are active and sporty, some are more calm and cuddly in general.
Ease of care...I'm not sure. For me, I'd say they are on the same level as my cats in care needs due to the way I keep them. I do know that I see a lot of them go through the shelters, so I guess that might not be too far off in comparison of care for an inside rabbit. Some people get overwhelmed with them, or find they weren't what they were expecting. I find looking at youtube videos of people with the various breeds can help kind of see what the general attitude will be like if going for a purebred bun. A lot of people seem to not like rabbits because of the cost and time involved with keeping a steady supply of (timothy usually) hay for them. The other complaint I hear a lot is that they do chew, so you have to rabbit proof the house. I hope that helps.
