Use an external drive of some kind.
Hard drive, or SSD, or even a USB flash drive.
Important info about copying from an old home folder to a new one (on another Mac).
You CANNOT COPY the "top level" folders in your home folder.
What that means is you CANNOT copy those folders named movies, music, pictures, documents, etc.
HOWEVER
You CAN COPY folders and files that are INSIDE OF these (top level) folders.
So, you could open the Music folder, then copy the iTunes music folder onto the drive, then take it to the new Mac, then "copy it in". I believe Music.app will be able to use the iTunes folder directly, or you can "import" from it if need be (I don't use Music.app).
The same thing with the Photos library (if you use Photos).
You would do best to keep paper and pencil to keep track of what you copy.
MORE IMPORTANT INFO:
You MUST take steps with the external drive to overcome permissions problems between the old Mac and the new one.
Here's how to do it.
- Once you have the "transfer drive" ready, connect it to the NEW Mac
- Let the drive icon mount on the desktop. DO NOT "open" it.
- Click on the drive icon ONE TIME to select it
- Bring up the "get info" box for the drive (you can type "command-i")
- At the bottom of get info, click the lock and enter the password you're using on the NEW Mac
- Put a checkmark into "ignore ownership on this volume".
- Close get info
Now you can copy from the transfer drive to the NEW Mac, and whatever files/folders you copy will "come under the ownership" of your NEW account on the NEW Mac.
If you don't do this, you may end up in what's known as "permissions hell".
Follow my instructions above, and you'll make a successful "manual migration".
============
But actually, it would be nearly as easy to just use Setup Assistant when you first set up.
Just UNcheck the option to move applications, but let everything else "go over".