Perhaps you've just upgraded to Windows 11, you've chosen a nice new wallpaper, and you have a clear screen, apart from the pesky recycle bin in the corner. Well, hiding that trash can is very simple!
Desktop cleanliness (the cyber kind) tends to go one of two ways: either you keep the desktop spick and span, with a well thought out wallpaper, or your desktop is a dumping group full of screenshots and 'New Folder', 'New Folder (2)' and 'New Folder (2) New'.
For the latter group: Don't fret! Help is available. But not here. This is for the first group of people.
Make a shortcut to the recycle bin first
I'd recommend creating a shortcut to the recycle bin so you can get back to it quickly when you need to. The quick access group in Windows Explorer is a good place for this.
Just click and drag into the Explorer window and you're done.
Hide the Desktop Recycle Bin
Now go into Settings -> Personalisation -> Themes -> Desktop Icon Settings (a quicker way is to hit the Windows key and search 'Themes', then choose Desktop Icon settings).
Now uncheck the 'Recycle Bin' box and hit Apply.
...and you're done!