Loans dont transfer. You have to cancel an reapply. Or just reapp;y if you are not in the middle of an award. (I transferred in the middle of an award year, so I had to cancel my other loans).
Your first step is to go to your SAR for FAFSA and add the new school(s) to that. That generates a report to the selected schools, who take it from there. Takes about a week for them to get the report. After that, things move pretty quick, but you have to be proactive and make sure you do everything you need to do, like accept awards, do promissary notes, etc.