Hi enanotg. Yeah, HFS is great!
If your HFS isn't already in Expert mode, click "You are in Easy mode" to switch to Expert mode, then click "Menu", then "Tray icons", then uncheck "Show main tray icon". You can switch back to Easy mode after that if you want.
Edit: Oh, and you'll probably also want to make sure "Tray icon for each download" in the "Tray icons" menu is unchecked.