If you're using Bing anyways, consider switching to Ecosia, it's a non-profit search engine, they pull their search results from Bing and plant trees across the globe with their profits.

It might not be for extremely privacy conscious people because they do send some of your data (obfuscated IP addresses, user agent string etc.) to Microsoft because they use Bing but it's still orders of magnitude better than using Bing directly.