The beds here are usually larger than the beds back home, and the bed sheets and bedspreads that you get from home fit very poorly. Its better to buy these items here. Nail cutter, scissors, safety pins, sewing thread, needles, spare buttons and hooks, small tools like penknife, screw driver etc. Eye drops, ear drops, bandage rolls, band-aid, cotton, Betnovate ointment. Any other items with doctors prescription.
Most graduate students cook in their apartments.
So you will need all the basic stuff needed for cooking. A 3 litre one should be sufficient but you might want to consider a larger size. Get at least one steel vessel to cook vegetables in. Either a pan or a deep bottom vessel. Plastic spoons, knives and forks are very cheap at the local grocery stores, and need not be packed.