Transfer from paper wallet to Exchange

Hi all! Many many years ago, I was really into Ethereum and knew lots of things about it. Today, I'm a total noob. My leftover funds from the good old days are in a paper wallet, which is basically a piece of paper with a private key. What's the safest way to move that to an exchange? I had to learn that what I did in the old days is now considered unsafe and not recommended (eg, in 2017, I just entered my private key on MEW to send funds).

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tldr: Want to move funds from paper wallet (private key) to an exchange. How to do it safely?