Somewhat unrelated to the post: if you ever need to censor something use a black bar, not pixelation.
It's somewhat possible to make out a few of your searches, for example, the third one clearly reads "_Switching from Chrome to Firefox".
post
In settings -> search there is a table called "Search Shortcuts" and you can uncheck all of the options to remove the icons.
Screenshot:

There is a way to do it but I have forgotten. I think I had to muck around in about:config
Open settings, go to search from the left hand menu, scroll down to the list of search shortcuts and either permanently remove the ones you don't want, or just click the checkbox next to it and it won't show up in the address bar.
Also that level of pixelization is easily reversed, better to just black out the parts you don't want visible.
I have not tested it thoroughly, but this CSS (on userChrome.css) should do the trick:
.search-one-offs {
display: none !important;
}
@fraencko Go to Settings > Search and untick Provide search suggestions
What are those buttons at the top?
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