Hi Anthony Shapiro,
Thanks for reaching out to Microsoft Q&A!
The Q&A Assist has given all the steps to switch or update the account you use on the computer to match your phone. However, in case that you want to change the PC name (e.g. DESKTOP-XXXX) to what you like, here's how to do it:
- On your PC, open Settings > Home
- Under the PC's name, click Rename (need Admin rights)
- Enter the new name you want with no spaces; use hyphens if needed.
- Restart the PC to apply the change > you can relink your phone with PC and check.
If you want to change the account name, just follow the suggestions from Q&A Assist. If your situation is different, share more details and I'll look into it with you!
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