I'm sorry to hear about your loss. However, you can take some of the things that you mentioned and use that a positive reminder of the good parts that they helped you with in your life. For instance if they took you to play keep doing the activity that they did the most and pass it on to someone else. The food they made you make for yourself or somone else and remember those times when they did, than that food will remind you of them in a good way. And stick to your studies so you can succeed when you grow up, than you will know that in spirit they will always be proud of you.
Yes, this is a part of growing up and it is a sad experience but how you carry it with you will determine your growth for the rest of your life. If you mourn their loss for a long time than it will affect you negatively in the long run, if you remember them in the most positive manner than it will help you grow into a great young man. Just remember you don't have to grow up too quickly... life will throw much more harsher realities that will make you grow up than this. Hold on to your youth for as long as you can, because you'll never get it back.