Transfer

Hi I am hoping to get an answer. I am graduating high school two years early and will be attending a California State University in my hometown. The reason I chose this university is because I felt that I was too young to be moving out of my home. I am going to be a Biology major (Pre Med). I have a question about transferring in the future. My plan is to stay at my hometown’s university for one or two years and then I really would love to transfer to possibly a private university or another state university in a different area. If you have any experience, knowledge, or advice on how to approach this in the best possible way please let me know. Thank you so much.