Possible version:
Hi, Mike,
As a student of your age, I understand your situation. I think it is wise of you to go alone. But you need to deal with your problem carefully not to hurt the feelings of your parents. Here are some of my suggestions.
They may have many reasons to go with you. So have a talk with them and listen patiently. This is, I suppose, your first time to be far away from home for so long, and they surely have some worries and wish to see everything go well.
Express your thanks for all their love and care. Persuade them you can manage everything well this time just as you did many times in the past. Remember to invite them to Beijing when you have already settled down. I am sure they will like the idea.

略