If you are moving something from one place to another, like transferring money from your savings account to your checking account, you are transferring it. Or, if you've been moved from one job site to another — you, my friend, have been transferred.
Transfer can also be a noun that means the act of moving something from one form or location to another, so that money that was shifted from one account to another is considered a transfer. If you change something from one form to another, you can say that you transferred it. "Her mother had transferred all the old 8mm home movies to video tape. Now she'd have to transfer them again using a more modern technology."