Can we bring our daily vitamins into China? Also can we bring vaccum packed cheese into China?

Yes, you can take your daily vitamins and vaccum packed cheese into China.
Meanwhile, you should bring along a copy of your medical record. A good medical record should mention all the medicines you are taking, the medical treatments you have received or are receiving, your chronic ailments, allergies or hypersensitivities, immunization history, blood type, eyeglass prescription, health insurance (the company's name, address and phone number) and so on. You should also have your doctor's name, address, and phone number in case it is needed. Carry these documents in a place that is both secure and accessible by you at all times while traveling.