Rabbits groom themselves all the time and as a result, they do swallow large quantities of fur. This does not necessarily cause a problem unless it is accompanied by a poor diet. A low fibre or low moisture diet can end up causing undigested food in the stomach. Mixed with the hair, this can cause a compacted blob and this blob can eventually kill your rabbit. Rabbits who have long hair such as Angoras need to be brushed more frequently. If mats and tangles do appear in your rabbits coat, very gently cut them out but please, be very careful as a rabbits skin is like tissue paper.
CLIPPING NAILS - It is very important that your rabbits nails are kept short as this will protect you from being scratched badly and protect the rabbit from getting its nails stuck and being ripped out. Clipping nails can be a bit awkward but once you get the hang of it, it is quite simple. I find the easiest way is to sit down and turn the rabbit over so that its head is hanging down over my knees. Stroking its head until it almost goes into a trance. Using people nail clippers or dog/cat nail clippers, cut the nail a little after the quick but being very careful not to cut the vein. If your rabbit has dark nails, use a torch to see where the vein is. If by accident you do cut your rabbits vein, use some flour or stop n bleed spray to stop the bleeding.
EAR CLEANING - Your rabbits ears should also be checked and regularly cleaned with a soft tissue to ensure there is not a build up of wax or debris. This is especially true in the case of lop - eared rabbits.