Both of variants have their advantages. When you using Firefox you can quickly use several search systems and quickly to switch between them.
|Pic.1: Firefox has 2 bars by default and you can use them simultaneously|
Also you can use Firefox in "mixed" mode, when address bar works also as search bar - you can use 2 different search systems very quickly: for example, Google/Yandex and Wikipedia.
|Pic.2: Chromium has "lighter" interface than Firefox|
Chromium does not suggest such freedom of choice, but you will see a much "lighter" interface than in Firefox. It signifies, that you will be saved to see many "information noise" (that is not needed for you 90% of time). Also you can see a much more long address line in the bar (that will be interesting for web-developers). If you are using several search systems, you will can use them and there - just add second (and each other) search system to the bookmarks. Anyway, you should to do one click (or press a "hotkey") as minimum to use it in both variants.
Thus both of variants are not ideal, and each of them has their own advantages. Which variant do you prefer?