Don't you want any traces of your browsing? then, try private browsing mode.
The fact is that it don't make you invisible on the internet; but, it leaves no browsing history (with some limitations).
I highly suggest you to check it out this post to know the limitations of private browsing mode.
Fortunately, all the browsers have this private browsing option; only the name and steps to enable it is a little bit different among browsers.
Here are the referring names of private browsing mode in the corresponding browsers: