Obviously bring some clothes (not too much as your room won't be very big) and stuff for any hobbies you have.
For kitchenware:
1 pot, 1 frying pan, 1 baking tray and then 1 or 2 of plate/bowl/small plate/cup/mug plus a set of cutlery (2-4 of spoon, teaspoon, knife, fork), 1 kitchen knife, 1 chopping board - everything else you can buy as you need it e.g. cake tins/weighing scales etc
For your bedroom: bedding (2 sets as you might not want to pay for a dryer), clothes drying rack, laundry basket/bag
on top of that you can think about other optional things e.g. cushions, throw/blanket, pictures, speakers etc