Moving the contacts via SIM card really isn't desirable, you can only copy one at a time to your SIM, and only a name and one phone at a time, contacts with more than one phone number require moving each phone individually.
You should use Desktop Manager Switch Device Wizard to move contacts, calendar, etc,. if your new phone is a BlackBerry.
If not a BlackBerry, you might be able to use Free mobile phone contact, photo, video and text message backup :: m:IQ
to sync your data to their servers and then back to your new phone, whatever it is. Details of what you're trying to do will help answer that question.