when transfer reaach 931065 files proces hung up each time when I try to migrate data.

It can take up to several hours for Migration Assistant to complete depending on how you're connecting the two computers.

I'd try starting your old Mac in Target Disk Mode, and then using Migration Assistant.

Transfer files between two Mac computers using target disk mode

If you have two Mac computers with USB, USB-C, or Thunderbolt ports, you can connect them so that one of them appears as an external hard disk on the other. This is called target disk mode.

Note: If either of the computers has macOS 11 or later installed, you must connect the two computers using a Thunderbolt cable.

1. Connect the two computers with a USB, USB-C, or Thunderbolt cable.
2. On the Mac you want to use as the external disk in target disk mode, do one of the following:

• • If the computer is off, start it up while pressing and holding the T key.
• If the computer is on, choose Apple menu  > System Preferences, click Startup Disk , then click Target Disk Mode.
  • When the computer has started up, a disk icon appears on the desktop of the other computer.

Then run Migration Assistant on the new computer only, and it should see your old Mac as a drive.

Could you have a Bad File/bad block on the SOURCE computer?

That would make it seem to freeze while it retries -- literally a thousand times. If it comes clean on the 999th try, that can easily take 1/4 minute per bad block.

Try the steps I listed in my reply above and see if that resolves the issue. If not we will go back to the drawing board.

What are you currently using to transfer the files? Are you using Migration Assistant?