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New Mac is coming this week. I think my biggest worry is being able to upload all my saved music, photos, and work documents onto the new hard drive. Any advice?

The easiest way is to use Migration Assistant. You just need to have both Macs on the same network ( WiFi or wired). It will move all your Music Files from iTunes to the new Apple Music App. It will also move all your Apps that are 64 Bit and settings as well.
 
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