The cheapest product to try would be ‘Aqueaus cream’. You can get it from boots - ask for it from behind the counter. You can buy a big pot and its really cheap. It contains paraffin oils and makes your skin feel so soft. It contains no colour or perfume.
The other product to try would be ‘Aveeno’ as Ang. has suggested. This contains oatmeal and is good for soreness (i use this for my sons eczema) and it calms the skin. It is a little more expensive.
It may take a few days but both products are good. Keep re-applying them often and they should help.
If your hands get really bad i find it is a good idea to get some latex gloves - put loads of cream on then the gloves on top. If you are at home this gives it time to soak in while you are still doing things or watching t.v. LOL!!
I used to be a beauty therapist. I dont think it is the ms - your skin just lacks moisture and perhaps you have your hands in water a lot which is quite drying to skin. Skin is the largest organ in the body - it needs looking after but often gets neglected!