Thunderbird is the free open source mail client from Mozilla.  The default special folder names of  "Trash" and "Sent" might not suit you, especially if you are using other mail clients ( or need to switch between different imap clients ).

Before you Start, make sure you have created the folders "Sent Items" and "Deleted Items" inside your imap account.

Goto Tools / Account Settings, change the server settings for each imap account

In "Server Settings" , set  "when i delete a message -> move it to the deleted folder" , then tick the option  "Cleanup (expunge ) Inbox on exit"

In "Copies & Folders",  "when sending place a copy in" , select other, then select your newly created "Sent Items" folder

Close the Account Settings, then go to Tools / Options, Advanced, "Config Editor"

In the "filter" section, input  mail.server.server , you will see the defaults for each account.  Each account will have settings mail.server.server1.blah mail.server.server2.blah etc.  You will create strings for each account.

Right click in the main window and select "New String" and enter the following

mail.server.server1.trash_folder_name

Deleted Items

Close and restart Thunderbird TWICE.  If you have been successful, the folder "Deleted Items" will be a Garbage or "Trash" bin symbol ( yech, I hate the word 'trash' )