Here's the step-by-step: head to the Telegram website and click on "Settings" - yeah, it's that simple! Then, scroll down to "Delete Account" and confirm that you wanna delete your account. You'll need to enter your phone number to verify it's really you, and then... poof! Your account is gone!
If you're using the app, it's a bit different: go to "Settings" > "Privacy and Security" > "Delete Account" - and follow the same steps as before. Easy peasy, right? Now, you might be wondering what happens to your data after you delete your account. Well, don't worry, Telegram says they'll delete all your data, including messages and contacts, and it'll be gone forever!