Need to transfer data to old dead computer to new computer.

My old computer wouldn't charge so I had to have a new one shipped in. At the moment I have both computers. How would I transfer the data from my old one to my new one? If the computer can't charge that means that it has no power left. Fixing the old one is out of the question. Why would I get a replacement if I could just have fixed the old one. Then I'm going to need to send the old one back anyways. Yes, this is data on the ssd.