> the worst part about Bing is coworkers seeing I use it.
I use Bing Images (because I don't like DuckDuckGo's image search) and link people there sometimes, and I used to have a Bing-branded wallpaper just to call attention to that there is a choice. Didn't even work, nobody around me finds that weird, many already use DDG or chose to remain with Google.
Bing seems to have switched away from branding a Bing logo onto their wallpapers, though, so that's no longer a thing.