you need to get admission first to the college in which you were trying to move. for that talk with the international / admission office about the requirements. if you meet the requirements, apply for it and have your i-20 ready for the Fall. Then you are almost done.

At the end you need to transfer your SEVIS from the previous one to the newer one. Transfer your SEVIS when your Spring semester is over or you can do after the Summer. Cheers :)