Is Bing really that poor? I'm happy enough with it 'cos it's simple to use. Are there any other search engines - NOT Chrome! I'm not going to live long enough to learn all it's complexities - worth trying?
Remember that BING was started by Microsoft in an attempt to cash in on some of the money Google is built upon, but they are years behind... They collect as much data they can on YOU on every search hoping to sell it to whoever's willing to pay for it. BING has perhaps 5% of the search data that Google has (maybe even less) so the results will be accordingly. BING is also way more heavily censored than Google search. Think political and commercial censorship.
Chrome is the browser, not the search engine btw
There have been plenty of search engines throughout the years. In the beginning Alta Vista was the biggest one but they are all but forgotten today and the only non-Google (and non-BING) search engines to even call search engines any longer are those who allow for shadier search results, like searching for dodgy stuff and pirate copies, or if you want to search the onions of Dark Web.
If you want to be 100% anonymous when searching (apart from the logs your ISP keeps) then use DuckDuckGo - but be ware because they don't censor any search results which might give you more than a couple of unexpected results!?! (like xss injected viruses etc)
I've been working with computer security for a couple of decades and I'm really picky about security and my integrity, to the extent that I'm running a modified version of Windows just to be in full control and the only search engine I use is Google Search simply because it's the most complete there is - and I know they remove dodgy stuff! When I need to search uncensored for work etc I've got other alternatives, but currently there is no search engine that even comes close to Google Search. BING is a school project in comparison.
Try it for a couple of weeks. If you're running Chrome and using Google Search then you quickly see the benefits of being a slave... erh... user of Googles services
(I've both worked for and with Google on many occasions so I know them from the inside, but they are generally a descent company - apart from making their money on your social life and preferences...)