I can definitely understand wanting to make sure all your contacts get transferred to your new device. There are a couple ways that you can do that. The first is to copy the contacts to the SIM card and use that to transfer the numbers. I'm not sure if that will work without the screen functioning so you'll have to test it out. You can also use Windows Mobile Device Center to copy the contacts to an e-mail program on your computer, like Microsoft Outlook. Getting the contacts to your new device will depend on what type of device you have.
Thanks for joining the Community!