I would be tempted to leave the 1Tb SSD for now and buy a 2Tb one.
I buy a Sabrent or Ugreen SSD enclosure off Amazon and a 2Tb SSD M2 stick. Open the packaging for both and extract the SSD, open up the Sabent enclosure and slot in the SSD. Secure the SSD and add the stick on heat sink to the SSD, close it up and secure it.
Connect the lead and plug it into a PC, in the search box type Disk Manager and when it opens you will see the SSD, enable the partition and format it exFAT.
It is then ready to go and yes it is that quick and easy to do.
Then you can backup/copy all the files.
As prior an iPad or Mobile is not likely to have sufficient power to supply an SSD. For info, I have an iPad Pro and it does power an SSD.