Leaving your family and family pets to go away to college

Mia
So I'm going away to college soon and it's really weighing on me that I will be leaving my family and my pets. I live with my grandparents and my Cat (since I was 7) and I've been very upset and worried about leaving them to go to college. I feel guilty for leaving because well to be honest I want to spend as much time with my grandparents and kitty as I can (they don't live forever ). I know it's something that I have to do and it's a part of growing up but I really need some advice on how to deal with this pain.