Dental problems are a major health issue for rabbits. Rabbits need to eat fibre to wear down their continuously growing teeth.
If teeth don't get worn down enough this can cause drooling and lack of appetite. Your vet will be able to advise you on your pet's teeth.
Rabbits will groom both themselves and others, as it's a social activity. Some long-haired breeds will need daily grooming by their owners to remove loose and matted hair. You should also check rabbit's eyes, ears, nose, mouth, bottom and nails daily.
If rabbits' nails grow too long and start curving, they can be trimmed, but avoid cutting the pink bit in the middle of the nail (called the quick) as this will hurt and bleed if cut. Your vet will be able to advise you on how to cut your pet's nails.